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Finding the Fourth Proportional to 6,844.74, 9,445.71 and 3,700.92

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Solution

The fourth proportional to 6,844.74, 9,445.71 and 3,700.92 is: 5,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.74 : 9,445.71 = 3,700.92 : x
  2. Step 2: Convert to fraction form
    6,844.74/9,445.71 = 3,700.92/x
  3. Step 3: Cross multiply
    6,844.74x = 9,445.71 × 3,700.92
  4. Step 4: Simplify right side
    6,844.74x = 34,957,866.35
  5. Step 5: Solve for x
    x = 34,957,866.35/6,844.74
  6. Step 6: Final answer
    x = 5,107.26

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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.