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Finding the Fourth Proportional to 14,535.34, 20,062 and 9,229.16

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Solution

The fourth proportional to 14,535.34, 20,062 and 9,229.16 is: 12,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,535.34 : 20,062 = 9,229.16 : x
  2. Step 2: Convert to fraction form
    14,535.34/20,062 = 9,229.16/x
  3. Step 3: Cross multiply
    14,535.34x = 20,062 × 9,229.16
  4. Step 4: Simplify right side
    14,535.34x = 185,155,407.92
  5. Step 5: Solve for x
    x = 185,155,407.92/14,535.34
  6. Step 6: Final answer
    x = 12,738.29

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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.