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Finding the Fourth Proportional to 10,287.27, 15,431.04 and 6,799.68

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Solution

The fourth proportional to 10,287.27, 15,431.04 and 6,799.68 is: 10,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.27 : 15,431.04 = 6,799.68 : x
  2. Step 2: Convert to fraction form
    10,287.27/15,431.04 = 6,799.68/x
  3. Step 3: Cross multiply
    10,287.27x = 15,431.04 × 6,799.68
  4. Step 4: Simplify right side
    10,287.27x = 104,926,134.07
  5. Step 5: Solve for x
    x = 104,926,134.07/10,287.27
  6. Step 6: Final answer
    x = 10,199.61

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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.