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Finding the Fourth Proportional to 10,491.48, 15,737.22 and 7,194.57

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Solution

The fourth proportional to 10,491.48, 15,737.22 and 7,194.57 is: 10,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.48 : 15,737.22 = 7,194.57 : x
  2. Step 2: Convert to fraction form
    10,491.48/15,737.22 = 7,194.57/x
  3. Step 3: Cross multiply
    10,491.48x = 15,737.22 × 7,194.57
  4. Step 4: Simplify right side
    10,491.48x = 113,222,530.90
  5. Step 5: Solve for x
    x = 113,222,530.90/10,491.48
  6. Step 6: Final answer
    x = 10,791.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.