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Finding the Fourth Proportional to 7,024.92, 9,694.47 and 3,881.10

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Solution

The fourth proportional to 7,024.92, 9,694.47 and 3,881.10 is: 5,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.92 : 9,694.47 = 3,881.10 : x
  2. Step 2: Convert to fraction form
    7,024.92/9,694.47 = 3,881.10/x
  3. Step 3: Cross multiply
    7,024.92x = 9,694.47 × 3,881.10
  4. Step 4: Simplify right side
    7,024.92x = 37,625,207.52
  5. Step 5: Solve for x
    x = 37,625,207.52/7,024.92
  6. Step 6: Final answer
    x = 5,355.96

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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.