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Finding the Fourth Proportional to 6,031.68, 9,047.52 and 1,649.17

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Solution

The fourth proportional to 6,031.68, 9,047.52 and 1,649.17 is: 2,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.68 : 9,047.52 = 1,649.17 : x
  2. Step 2: Convert to fraction form
    6,031.68/9,047.52 = 1,649.17/x
  3. Step 3: Cross multiply
    6,031.68x = 9,047.52 × 1,649.17
  4. Step 4: Simplify right side
    6,031.68x = 14,920,921.18
  5. Step 5: Solve for x
    x = 14,920,921.18/6,031.68
  6. Step 6: Final answer
    x = 2,473.76

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Similar ratio
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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.