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Finding the Fourth Proportional to 6,671.80, 10,008.06 and 5,691.47

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Solution

The fourth proportional to 6,671.80, 10,008.06 and 5,691.47 is: 8,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.80 : 10,008.06 = 5,691.47 : x
  2. Step 2: Convert to fraction form
    6,671.80/10,008.06 = 5,691.47/x
  3. Step 3: Cross multiply
    6,671.80x = 10,008.06 × 5,691.47
  4. Step 4: Simplify right side
    6,671.80x = 56,960,501.86
  5. Step 5: Solve for x
    x = 56,960,501.86/6,671.80
  6. Step 6: Final answer
    x = 8,537.50

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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.