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Finding the Fourth Proportional to 14,705.57, 20,302.07 and 9,684.38

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Solution

The fourth proportional to 14,705.57, 20,302.07 and 9,684.38 is: 13,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.57 : 20,302.07 = 9,684.38 : x
  2. Step 2: Convert to fraction form
    14,705.57/20,302.07 = 9,684.38/x
  3. Step 3: Cross multiply
    14,705.57x = 20,302.07 × 9,684.38
  4. Step 4: Simplify right side
    14,705.57x = 196,612,960.67
  5. Step 5: Solve for x
    x = 196,612,960.67/14,705.57
  6. Step 6: Final answer
    x = 13,369.97

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.