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Finding the Fourth Proportional to 9,932.40, 14,882.40 and 8,539.20

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Solution

The fourth proportional to 9,932.40, 14,882.40 and 8,539.20 is: 12,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.40 : 14,882.40 = 8,539.20 : x
  2. Step 2: Convert to fraction form
    9,932.40/14,882.40 = 8,539.20/x
  3. Step 3: Cross multiply
    9,932.40x = 14,882.40 × 8,539.20
  4. Step 4: Simplify right side
    9,932.40x = 127,083,790.08
  5. Step 5: Solve for x
    x = 127,083,790.08/9,932.40
  6. Step 6: Final answer
    x = 12,794.87

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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.