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Finding the Fourth Proportional to 15,760.78, 21,748.86 and 8,687.24

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Solution

The fourth proportional to 15,760.78, 21,748.86 and 8,687.24 is: 11,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.78 : 21,748.86 = 8,687.24 : x
  2. Step 2: Convert to fraction form
    15,760.78/21,748.86 = 8,687.24/x
  3. Step 3: Cross multiply
    15,760.78x = 21,748.86 × 8,687.24
  4. Step 4: Simplify right side
    15,760.78x = 188,937,566.55
  5. Step 5: Solve for x
    x = 188,937,566.55/15,760.78
  6. Step 6: Final answer
    x = 11,987.83

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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.