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Finding the Fourth Proportional to 6,625.92, 9,929.62 and 4,980.54

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Solution

The fourth proportional to 6,625.92, 9,929.62 and 4,980.54 is: 7,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.92 : 9,929.62 = 4,980.54 : x
  2. Step 2: Convert to fraction form
    6,625.92/9,929.62 = 4,980.54/x
  3. Step 3: Cross multiply
    6,625.92x = 9,929.62 × 4,980.54
  4. Step 4: Simplify right side
    6,625.92x = 49,454,869.59
  5. Step 5: Solve for x
    x = 49,454,869.59/6,625.92
  6. Step 6: Final answer
    x = 7,463.85

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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.