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Finding the Fourth Proportional to 7,123.14, 10,657.98 and 5,891.13

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Solution

The fourth proportional to 7,123.14, 10,657.98 and 5,891.13 is: 8,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.14 : 10,657.98 = 5,891.13 : x
  2. Step 2: Convert to fraction form
    7,123.14/10,657.98 = 5,891.13/x
  3. Step 3: Cross multiply
    7,123.14x = 10,657.98 × 5,891.13
  4. Step 4: Simplify right side
    7,123.14x = 62,787,545.72
  5. Step 5: Solve for x
    x = 62,787,545.72/7,123.14
  6. Step 6: Final answer
    x = 8,814.59

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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.