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Finding the Fourth Proportional to 6,147.92, 9,216.24 and 2,402.22

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Solution

The fourth proportional to 6,147.92, 9,216.24 and 2,402.22 is: 3,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.92 : 9,216.24 = 2,402.22 : x
  2. Step 2: Convert to fraction form
    6,147.92/9,216.24 = 2,402.22/x
  3. Step 3: Cross multiply
    6,147.92x = 9,216.24 × 2,402.22
  4. Step 4: Simplify right side
    6,147.92x = 22,139,436.05
  5. Step 5: Solve for x
    x = 22,139,436.05/6,147.92
  6. Step 6: Final answer
    x = 3,601.13

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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.