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Finding the Fourth Proportional to 6,714.39, 9,265.41 and 3,881.55

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Solution

The fourth proportional to 6,714.39, 9,265.41 and 3,881.55 is: 5,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.39 : 9,265.41 = 3,881.55 : x
  2. Step 2: Convert to fraction form
    6,714.39/9,265.41 = 3,881.55/x
  3. Step 3: Cross multiply
    6,714.39x = 9,265.41 × 3,881.55
  4. Step 4: Simplify right side
    6,714.39x = 35,964,152.19
  5. Step 5: Solve for x
    x = 35,964,152.19/6,714.39
  6. Step 6: Final answer
    x = 5,356.28

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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.