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Finding the Fourth Proportional to 10,343.76, 14,275.12 and 5,867.88

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Solution

The fourth proportional to 10,343.76, 14,275.12 and 5,867.88 is: 8,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.76 : 14,275.12 = 5,867.88 : x
  2. Step 2: Convert to fraction form
    10,343.76/14,275.12 = 5,867.88/x
  3. Step 3: Cross multiply
    10,343.76x = 14,275.12 × 5,867.88
  4. Step 4: Simplify right side
    10,343.76x = 83,764,691.15
  5. Step 5: Solve for x
    x = 83,764,691.15/10,343.76
  6. Step 6: Final answer
    x = 8,098.09

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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.