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Finding the Fourth Proportional to 6,714.62, 9,266.57 and 3,730.78

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Solution

The fourth proportional to 6,714.62, 9,266.57 and 3,730.78 is: 5,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.62 : 9,266.57 = 3,730.78 : x
  2. Step 2: Convert to fraction form
    6,714.62/9,266.57 = 3,730.78/x
  3. Step 3: Cross multiply
    6,714.62x = 9,266.57 × 3,730.78
  4. Step 4: Simplify right side
    6,714.62x = 34,571,534.02
  5. Step 5: Solve for x
    x = 34,571,534.02/6,714.62
  6. Step 6: Final answer
    x = 5,148.70

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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.