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Finding the Fourth Proportional to 12,755.76, 17,602.96 and 7,167.84

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Solution

The fourth proportional to 12,755.76, 17,602.96 and 7,167.84 is: 9,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.76 : 17,602.96 = 7,167.84 : x
  2. Step 2: Convert to fraction form
    12,755.76/17,602.96 = 7,167.84/x
  3. Step 3: Cross multiply
    12,755.76x = 17,602.96 × 7,167.84
  4. Step 4: Simplify right side
    12,755.76x = 126,175,200.81
  5. Step 5: Solve for x
    x = 126,175,200.81/12,755.76
  6. Step 6: Final answer
    x = 9,891.63

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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.