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Finding the Fourth Proportional to 25,399.97, 38,114.12 and 9,615.50

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Solution

The fourth proportional to 25,399.97, 38,114.12 and 9,615.50 is: 14,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,399.97 : 38,114.12 = 9,615.50 : x
  2. Step 2: Convert to fraction form
    25,399.97/38,114.12 = 9,615.50/x
  3. Step 3: Cross multiply
    25,399.97x = 38,114.12 × 9,615.50
  4. Step 4: Simplify right side
    25,399.97x = 366,486,320.86
  5. Step 5: Solve for x
    x = 366,486,320.86/25,399.97
  6. Step 6: Final answer
    x = 14,428.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.