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Finding the Fourth Proportional to 7,766.57, 11,593.54 and 7,188.43

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Solution

The fourth proportional to 7,766.57, 11,593.54 and 7,188.43 is: 10,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.57 : 11,593.54 = 7,188.43 : x
  2. Step 2: Convert to fraction form
    7,766.57/11,593.54 = 7,188.43/x
  3. Step 3: Cross multiply
    7,766.57x = 11,593.54 × 7,188.43
  4. Step 4: Simplify right side
    7,766.57x = 83,339,350.74
  5. Step 5: Solve for x
    x = 83,339,350.74/7,766.57
  6. Step 6: Final answer
    x = 10,730.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.