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Finding the Fourth Proportional to 6,254.28, 9,371.16 and 6,014.52

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Solution

The fourth proportional to 6,254.28, 9,371.16 and 6,014.52 is: 9,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.28 : 9,371.16 = 6,014.52 : x
  2. Step 2: Convert to fraction form
    6,254.28/9,371.16 = 6,014.52/x
  3. Step 3: Cross multiply
    6,254.28x = 9,371.16 × 6,014.52
  4. Step 4: Simplify right side
    6,254.28x = 56,363,029.24
  5. Step 5: Solve for x
    x = 56,363,029.24/6,254.28
  6. Step 6: Final answer
    x = 9,011.91

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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.