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Finding the Fourth Proportional to 7,310.59, 10,964.77 and 2,380.22

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Solution

The fourth proportional to 7,310.59, 10,964.77 and 2,380.22 is: 3,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.59 : 10,964.77 = 2,380.22 : x
  2. Step 2: Convert to fraction form
    7,310.59/10,964.77 = 2,380.22/x
  3. Step 3: Cross multiply
    7,310.59x = 10,964.77 × 2,380.22
  4. Step 4: Simplify right side
    7,310.59x = 26,098,545.19
  5. Step 5: Solve for x
    x = 26,098,545.19/7,310.59
  6. Step 6: Final answer
    x = 3,569.97

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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.