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Finding the Fourth Proportional to 6,479.90, 9,672.82 and 6,024.14

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Solution

The fourth proportional to 6,479.90, 9,672.82 and 6,024.14 is: 8,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.90 : 9,672.82 = 6,024.14 : x
  2. Step 2: Convert to fraction form
    6,479.90/9,672.82 = 6,024.14/x
  3. Step 3: Cross multiply
    6,479.90x = 9,672.82 × 6,024.14
  4. Step 4: Simplify right side
    6,479.90x = 58,270,421.87
  5. Step 5: Solve for x
    x = 58,270,421.87/6,479.90
  6. Step 6: Final answer
    x = 8,992.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.