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Finding the Fourth Proportional to 5,867.70, 8,097.43 and 3,215.12

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Solution

The fourth proportional to 5,867.70, 8,097.43 and 3,215.12 is: 4,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.70 : 8,097.43 = 3,215.12 : x
  2. Step 2: Convert to fraction form
    5,867.70/8,097.43 = 3,215.12/x
  3. Step 3: Cross multiply
    5,867.70x = 8,097.43 × 3,215.12
  4. Step 4: Simplify right side
    5,867.70x = 26,034,209.14
  5. Step 5: Solve for x
    x = 26,034,209.14/5,867.70
  6. Step 6: Final answer
    x = 4,436.87

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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.