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Finding the Fourth Proportional to 6,482.62, 9,714.21 and 3,882.70

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Solution

The fourth proportional to 6,482.62, 9,714.21 and 3,882.70 is: 5,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.62 : 9,714.21 = 3,882.70 : x
  2. Step 2: Convert to fraction form
    6,482.62/9,714.21 = 3,882.70/x
  3. Step 3: Cross multiply
    6,482.62x = 9,714.21 × 3,882.70
  4. Step 4: Simplify right side
    6,482.62x = 37,717,363.17
  5. Step 5: Solve for x
    x = 37,717,363.17/6,482.62
  6. Step 6: Final answer
    x = 5,818.23

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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.