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Finding the Fourth Proportional to 6,714.38, 9,267.08 and 3,881.46

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Solution

The fourth proportional to 6,714.38, 9,267.08 and 3,881.46 is: 5,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.38 : 9,267.08 = 3,881.46 : x
  2. Step 2: Convert to fraction form
    6,714.38/9,267.08 = 3,881.46/x
  3. Step 3: Cross multiply
    6,714.38x = 9,267.08 × 3,881.46
  4. Step 4: Simplify right side
    6,714.38x = 35,969,810.04
  5. Step 5: Solve for x
    x = 35,969,810.04/6,714.38
  6. Step 6: Final answer
    x = 5,357.13

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Half scale
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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.