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Finding the Fourth Proportional to 6,152.64, 9,229.23 and 2,254.92

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Solution

The fourth proportional to 6,152.64, 9,229.23 and 2,254.92 is: 3,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.64 : 9,229.23 = 2,254.92 : x
  2. Step 2: Convert to fraction form
    6,152.64/9,229.23 = 2,254.92/x
  3. Step 3: Cross multiply
    6,152.64x = 9,229.23 × 2,254.92
  4. Step 4: Simplify right side
    6,152.64x = 20,811,175.31
  5. Step 5: Solve for x
    x = 20,811,175.31/6,152.64
  6. Step 6: Final answer
    x = 3,382.48

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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.