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Finding the Fourth Proportional to 6,264.41, 9,398.68 and 2,977.16

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Solution

The fourth proportional to 6,264.41, 9,398.68 and 2,977.16 is: 4,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.41 : 9,398.68 = 2,977.16 : x
  2. Step 2: Convert to fraction form
    6,264.41/9,398.68 = 2,977.16/x
  3. Step 3: Cross multiply
    6,264.41x = 9,398.68 × 2,977.16
  4. Step 4: Simplify right side
    6,264.41x = 27,981,319.71
  5. Step 5: Solve for x
    x = 27,981,319.71/6,264.41
  6. Step 6: Final answer
    x = 4,466.72

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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.