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Finding the Fourth Proportional to 10,713.20, 16,069.80 and 9,417.20

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Solution

The fourth proportional to 10,713.20, 16,069.80 and 9,417.20 is: 14,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.20 : 16,069.80 = 9,417.20 : x
  2. Step 2: Convert to fraction form
    10,713.20/16,069.80 = 9,417.20/x
  3. Step 3: Cross multiply
    10,713.20x = 16,069.80 × 9,417.20
  4. Step 4: Simplify right side
    10,713.20x = 151,332,520.56
  5. Step 5: Solve for x
    x = 151,332,520.56/10,713.20
  6. Step 6: Final answer
    x = 14,125.80

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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.