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Finding the Fourth Proportional to 7,834.73, 10,808.91 and 5,002.22

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Solution

The fourth proportional to 7,834.73, 10,808.91 and 5,002.22 is: 6,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.73 : 10,808.91 = 5,002.22 : x
  2. Step 2: Convert to fraction form
    7,834.73/10,808.91 = 5,002.22/x
  3. Step 3: Cross multiply
    7,834.73x = 10,808.91 × 5,002.22
  4. Step 4: Simplify right side
    7,834.73x = 54,068,572.80
  5. Step 5: Solve for x
    x = 54,068,572.80/7,834.73
  6. Step 6: Final answer
    x = 6,901.14

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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.