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Finding the Fourth Proportional to 6,843.74, 9,444.42 and 4,012.79

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Solution

The fourth proportional to 6,843.74, 9,444.42 and 4,012.79 is: 5,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.74 : 9,444.42 = 4,012.79 : x
  2. Step 2: Convert to fraction form
    6,843.74/9,444.42 = 4,012.79/x
  3. Step 3: Cross multiply
    6,843.74x = 9,444.42 × 4,012.79
  4. Step 4: Simplify right side
    6,843.74x = 37,898,426.91
  5. Step 5: Solve for x
    x = 37,898,426.91/6,843.74
  6. Step 6: Final answer
    x = 5,537.68

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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.