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Finding the Fourth Proportional to 6,714.62, 9,270.37 and 4,325.78

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Solution

The fourth proportional to 6,714.62, 9,270.37 and 4,325.78 is: 5,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.62 : 9,270.37 = 4,325.78 : x
  2. Step 2: Convert to fraction form
    6,714.62/9,270.37 = 4,325.78/x
  3. Step 3: Cross multiply
    6,714.62x = 9,270.37 × 4,325.78
  4. Step 4: Simplify right side
    6,714.62x = 40,101,595.82
  5. Step 5: Solve for x
    x = 40,101,595.82/6,714.62
  6. Step 6: Final answer
    x = 5,972.28

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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.