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Finding the Fourth Proportional to 5,589.97, 7,714.02 and 3,037.69

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Solution

The fourth proportional to 5,589.97, 7,714.02 and 3,037.69 is: 4,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.97 : 7,714.02 = 3,037.69 : x
  2. Step 2: Convert to fraction form
    5,589.97/7,714.02 = 3,037.69/x
  3. Step 3: Cross multiply
    5,589.97x = 7,714.02 × 3,037.69
  4. Step 4: Simplify right side
    5,589.97x = 23,432,801.41
  5. Step 5: Solve for x
    x = 23,432,801.41/5,589.97
  6. Step 6: Final answer
    x = 4,191.94

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Half scale
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Double scale
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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.