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Finding the Fourth Proportional to 7,142.01, 10,714.73 and 2,979.71

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Solution

The fourth proportional to 7,142.01, 10,714.73 and 2,979.71 is: 4,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.01 : 10,714.73 = 2,979.71 : x
  2. Step 2: Convert to fraction form
    7,142.01/10,714.73 = 2,979.71/x
  3. Step 3: Cross multiply
    7,142.01x = 10,714.73 × 2,979.71
  4. Step 4: Simplify right side
    7,142.01x = 31,926,759.84
  5. Step 5: Solve for x
    x = 31,926,759.84/7,142.01
  6. Step 6: Final answer
    x = 4,470.27

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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.