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Finding the Fourth Proportional to 6,575.70, 9,073.65 and 3,743.44

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Solution

The fourth proportional to 6,575.70, 9,073.65 and 3,743.44 is: 5,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.70 : 9,073.65 = 3,743.44 : x
  2. Step 2: Convert to fraction form
    6,575.70/9,073.65 = 3,743.44/x
  3. Step 3: Cross multiply
    6,575.70x = 9,073.65 × 3,743.44
  4. Step 4: Simplify right side
    6,575.70x = 33,966,664.36
  5. Step 5: Solve for x
    x = 33,966,664.36/6,575.70
  6. Step 6: Final answer
    x = 5,165.48

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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.