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Finding the Fourth Proportional to 6,827.70, 9,422.04 and 4,175.10

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Solution

The fourth proportional to 6,827.70, 9,422.04 and 4,175.10 is: 5,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.70 : 9,422.04 = 4,175.10 : x
  2. Step 2: Convert to fraction form
    6,827.70/9,422.04 = 4,175.10/x
  3. Step 3: Cross multiply
    6,827.70x = 9,422.04 × 4,175.10
  4. Step 4: Simplify right side
    6,827.70x = 39,337,959.20
  5. Step 5: Solve for x
    x = 39,337,959.20/6,827.70
  6. Step 6: Final answer
    x = 5,761.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.