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Finding the Fourth Proportional to 6,147.92, 9,223.76 and 5,494.52

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Solution

The fourth proportional to 6,147.92, 9,223.76 and 5,494.52 is: 8,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.92 : 9,223.76 = 5,494.52 : x
  2. Step 2: Convert to fraction form
    6,147.92/9,223.76 = 5,494.52/x
  3. Step 3: Cross multiply
    6,147.92x = 9,223.76 × 5,494.52
  4. Step 4: Simplify right side
    6,147.92x = 50,680,101.41
  5. Step 5: Solve for x
    x = 50,680,101.41/6,147.92
  6. Step 6: Final answer
    x = 8,243.46

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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.