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Finding the Fourth Proportional to 9,438.52, 13,024.74 and 6,294.28

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Solution

The fourth proportional to 9,438.52, 13,024.74 and 6,294.28 is: 8,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.52 : 13,024.74 = 6,294.28 : x
  2. Step 2: Convert to fraction form
    9,438.52/13,024.74 = 6,294.28/x
  3. Step 3: Cross multiply
    9,438.52x = 13,024.74 × 6,294.28
  4. Step 4: Simplify right side
    9,438.52x = 81,981,360.49
  5. Step 5: Solve for x
    x = 81,981,360.49/9,438.52
  6. Step 6: Final answer
    x = 8,685.83

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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.