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Finding the Fourth Proportional to 8,646.01, 12,974.18 and 3,715.54

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Solution

The fourth proportional to 8,646.01, 12,974.18 and 3,715.54 is: 5,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.01 : 12,974.18 = 3,715.54 : x
  2. Step 2: Convert to fraction form
    8,646.01/12,974.18 = 3,715.54/x
  3. Step 3: Cross multiply
    8,646.01x = 12,974.18 × 3,715.54
  4. Step 4: Simplify right side
    8,646.01x = 48,206,033.74
  5. Step 5: Solve for x
    x = 48,206,033.74/8,646.01
  6. Step 6: Final answer
    x = 5,575.53

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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.