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Finding the Fourth Proportional to 7,566.74, 11,358.35 and 5,737.85

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Solution

The fourth proportional to 7,566.74, 11,358.35 and 5,737.85 is: 8,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.74 : 11,358.35 = 5,737.85 : x
  2. Step 2: Convert to fraction form
    7,566.74/11,358.35 = 5,737.85/x
  3. Step 3: Cross multiply
    7,566.74x = 11,358.35 × 5,737.85
  4. Step 4: Simplify right side
    7,566.74x = 65,172,508.55
  5. Step 5: Solve for x
    x = 65,172,508.55/7,566.74
  6. Step 6: Final answer
    x = 8,613.02

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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.