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Finding the Fourth Proportional to 8,963.92, 12,365.07 and 7,442.87

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Solution

The fourth proportional to 8,963.92, 12,365.07 and 7,442.87 is: 10,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.92 : 12,365.07 = 7,442.87 : x
  2. Step 2: Convert to fraction form
    8,963.92/12,365.07 = 7,442.87/x
  3. Step 3: Cross multiply
    8,963.92x = 12,365.07 × 7,442.87
  4. Step 4: Simplify right side
    8,963.92x = 92,031,608.55
  5. Step 5: Solve for x
    x = 92,031,608.55/8,963.92
  6. Step 6: Final answer
    x = 10,266.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.