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Finding the Fourth Proportional to 12,612.58, 17,405.38 and 6,947.17

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Solution

The fourth proportional to 12,612.58, 17,405.38 and 6,947.17 is: 9,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.58 : 17,405.38 = 6,947.17 : x
  2. Step 2: Convert to fraction form
    12,612.58/17,405.38 = 6,947.17/x
  3. Step 3: Cross multiply
    12,612.58x = 17,405.38 × 6,947.17
  4. Step 4: Simplify right side
    12,612.58x = 120,918,098.95
  5. Step 5: Solve for x
    x = 120,918,098.95/12,612.58
  6. Step 6: Final answer
    x = 9,587.10

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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.