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Finding the Fourth Proportional to 12,614.31, 17,407.58 and 6,948.94

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Solution

The fourth proportional to 12,614.31, 17,407.58 and 6,948.94 is: 9,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.31 : 17,407.58 = 6,948.94 : x
  2. Step 2: Convert to fraction form
    12,614.31/17,407.58 = 6,948.94/x
  3. Step 3: Cross multiply
    12,614.31x = 17,407.58 × 6,948.94
  4. Step 4: Simplify right side
    12,614.31x = 120,964,228.97
  5. Step 5: Solve for x
    x = 120,964,228.97/12,614.31
  6. Step 6: Final answer
    x = 9,589.44

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1.5x scale

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.