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Finding the Fourth Proportional to 6,111.40, 9,167.70 and 2,414

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Solution

The fourth proportional to 6,111.40, 9,167.70 and 2,414 is: 3,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.40 : 9,167.70 = 2,414 : x
  2. Step 2: Convert to fraction form
    6,111.40/9,167.70 = 2,414/x
  3. Step 3: Cross multiply
    6,111.40x = 9,167.70 × 2,414
  4. Step 4: Simplify right side
    6,111.40x = 22,130,827.80
  5. Step 5: Solve for x
    x = 22,130,827.80/6,111.40
  6. Step 6: Final answer
    x = 3,621.24

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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.