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Finding the Fourth Proportional to 6,404.74, 9,591.02 and 4,057.62

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Solution

The fourth proportional to 6,404.74, 9,591.02 and 4,057.62 is: 6,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.74 : 9,591.02 = 4,057.62 : x
  2. Step 2: Convert to fraction form
    6,404.74/9,591.02 = 4,057.62/x
  3. Step 3: Cross multiply
    6,404.74x = 9,591.02 × 4,057.62
  4. Step 4: Simplify right side
    6,404.74x = 38,916,714.57
  5. Step 5: Solve for x
    x = 38,916,714.57/6,404.74
  6. Step 6: Final answer
    x = 6,076.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.