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Finding the Fourth Proportional to 14,923.41, 20,594.28 and 8,209.14

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Solution

The fourth proportional to 14,923.41, 20,594.28 and 8,209.14 is: 11,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.41 : 20,594.28 = 8,209.14 : x
  2. Step 2: Convert to fraction form
    14,923.41/20,594.28 = 8,209.14/x
  3. Step 3: Cross multiply
    14,923.41x = 20,594.28 × 8,209.14
  4. Step 4: Simplify right side
    14,923.41x = 169,061,327.72
  5. Step 5: Solve for x
    x = 169,061,327.72/14,923.41
  6. Step 6: Final answer
    x = 11,328.60

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Half scale
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Double scale
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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.