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Finding the Fourth Proportional to 12,754.30, 17,602.17 and 7,376.95

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Solution

The fourth proportional to 12,754.30, 17,602.17 and 7,376.95 is: 10,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.30 : 17,602.17 = 7,376.95 : x
  2. Step 2: Convert to fraction form
    12,754.30/17,602.17 = 7,376.95/x
  3. Step 3: Cross multiply
    12,754.30x = 17,602.17 × 7,376.95
  4. Step 4: Simplify right side
    12,754.30x = 129,850,327.98
  5. Step 5: Solve for x
    x = 129,850,327.98/12,754.30
  6. Step 6: Final answer
    x = 10,180.91

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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.