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Finding the Fourth Proportional to 6,863.46, 10,294.92 and 3,164.46

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Solution

The fourth proportional to 6,863.46, 10,294.92 and 3,164.46 is: 4,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.46 : 10,294.92 = 3,164.46 : x
  2. Step 2: Convert to fraction form
    6,863.46/10,294.92 = 3,164.46/x
  3. Step 3: Cross multiply
    6,863.46x = 10,294.92 × 3,164.46
  4. Step 4: Simplify right side
    6,863.46x = 32,577,862.54
  5. Step 5: Solve for x
    x = 32,577,862.54/6,863.46
  6. Step 6: Final answer
    x = 4,746.57

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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.