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Finding the Fourth Proportional to 8,523.57, 11,762.52 and 4,987.47

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Solution

The fourth proportional to 8,523.57, 11,762.52 and 4,987.47 is: 6,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.57 : 11,762.52 = 4,987.47 : x
  2. Step 2: Convert to fraction form
    8,523.57/11,762.52 = 4,987.47/x
  3. Step 3: Cross multiply
    8,523.57x = 11,762.52 × 4,987.47
  4. Step 4: Simplify right side
    8,523.57x = 58,665,215.62
  5. Step 5: Solve for x
    x = 58,665,215.62/8,523.57
  6. Step 6: Final answer
    x = 6,882.70

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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.