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Finding the Fourth Proportional to 8,614.60, 11,891.13 and 5,077.60

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Solution

The fourth proportional to 8,614.60, 11,891.13 and 5,077.60 is: 7,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.60 : 11,891.13 = 5,077.60 : x
  2. Step 2: Convert to fraction form
    8,614.60/11,891.13 = 5,077.60/x
  3. Step 3: Cross multiply
    8,614.60x = 11,891.13 × 5,077.60
  4. Step 4: Simplify right side
    8,614.60x = 60,378,342.23
  5. Step 5: Solve for x
    x = 60,378,342.23/8,614.60
  6. Step 6: Final answer
    x = 7,008.84

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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.