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Finding the Fourth Proportional to 10,014.80, 13,815.80 and 6,479.16

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Solution

The fourth proportional to 10,014.80, 13,815.80 and 6,479.16 is: 8,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.80 : 13,815.80 = 6,479.16 : x
  2. Step 2: Convert to fraction form
    10,014.80/13,815.80 = 6,479.16/x
  3. Step 3: Cross multiply
    10,014.80x = 13,815.80 × 6,479.16
  4. Step 4: Simplify right side
    10,014.80x = 89,514,778.73
  5. Step 5: Solve for x
    x = 89,514,778.73/10,014.80
  6. Step 6: Final answer
    x = 8,938.25

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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.