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Finding the Fourth Proportional to 7,772.47, 11,633.19 and 5,913.52

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Solution

The fourth proportional to 7,772.47, 11,633.19 and 5,913.52 is: 8,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.47 : 11,633.19 = 5,913.52 : x
  2. Step 2: Convert to fraction form
    7,772.47/11,633.19 = 5,913.52/x
  3. Step 3: Cross multiply
    7,772.47x = 11,633.19 × 5,913.52
  4. Step 4: Simplify right side
    7,772.47x = 68,793,101.73
  5. Step 5: Solve for x
    x = 68,793,101.73/7,772.47
  6. Step 6: Final answer
    x = 8,850.87

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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.