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Finding the Fourth Proportional to 11,658.52, 17,486.70 and 3,866.68

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Solution

The fourth proportional to 11,658.52, 17,486.70 and 3,866.68 is: 5,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.52 : 17,486.70 = 3,866.68 : x
  2. Step 2: Convert to fraction form
    11,658.52/17,486.70 = 3,866.68/x
  3. Step 3: Cross multiply
    11,658.52x = 17,486.70 × 3,866.68
  4. Step 4: Simplify right side
    11,658.52x = 67,615,473.16
  5. Step 5: Solve for x
    x = 67,615,473.16/11,658.52
  6. Step 6: Final answer
    x = 5,799.66

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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.