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Finding the Fourth Proportional to 8,429.93, 12,644.78 and 6,582.56

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Solution

The fourth proportional to 8,429.93, 12,644.78 and 6,582.56 is: 9,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.93 : 12,644.78 = 6,582.56 : x
  2. Step 2: Convert to fraction form
    8,429.93/12,644.78 = 6,582.56/x
  3. Step 3: Cross multiply
    8,429.93x = 12,644.78 × 6,582.56
  4. Step 4: Simplify right side
    8,429.93x = 83,234,926.90
  5. Step 5: Solve for x
    x = 83,234,926.90/8,429.93
  6. Step 6: Final answer
    x = 9,873.74

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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.