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Finding the Fourth Proportional to 14,773.84, 20,386.85 and 8,314.42

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Solution

The fourth proportional to 14,773.84, 20,386.85 and 8,314.42 is: 11,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.84 : 20,386.85 = 8,314.42 : x
  2. Step 2: Convert to fraction form
    14,773.84/20,386.85 = 8,314.42/x
  3. Step 3: Cross multiply
    14,773.84x = 20,386.85 × 8,314.42
  4. Step 4: Simplify right side
    14,773.84x = 169,504,833.38
  5. Step 5: Solve for x
    x = 169,504,833.38/14,773.84
  6. Step 6: Final answer
    x = 11,473.31

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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.