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Finding the Fourth Proportional to 8,658.30, 11,941.92 and 7,465.38

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Solution

The fourth proportional to 8,658.30, 11,941.92 and 7,465.38 is: 10,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.30 : 11,941.92 = 7,465.38 : x
  2. Step 2: Convert to fraction form
    8,658.30/11,941.92 = 7,465.38/x
  3. Step 3: Cross multiply
    8,658.30x = 11,941.92 × 7,465.38
  4. Step 4: Simplify right side
    8,658.30x = 89,150,970.73
  5. Step 5: Solve for x
    x = 89,150,970.73/8,658.30
  6. Step 6: Final answer
    x = 10,296.59

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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.