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Finding the Fourth Proportional to 6,842.97, 10,265.11 and 3,146.23

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Solution

The fourth proportional to 6,842.97, 10,265.11 and 3,146.23 is: 4,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.97 : 10,265.11 = 3,146.23 : x
  2. Step 2: Convert to fraction form
    6,842.97/10,265.11 = 3,146.23/x
  3. Step 3: Cross multiply
    6,842.97x = 10,265.11 × 3,146.23
  4. Step 4: Simplify right side
    6,842.97x = 32,296,397.04
  5. Step 5: Solve for x
    x = 32,296,397.04/6,842.97
  6. Step 6: Final answer
    x = 4,719.65

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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.