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Finding the Fourth Proportional to 7,863.38, 10,853 and 4,508.44

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Solution

The fourth proportional to 7,863.38, 10,853 and 4,508.44 is: 6,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.38 : 10,853 = 4,508.44 : x
  2. Step 2: Convert to fraction form
    7,863.38/10,853 = 4,508.44/x
  3. Step 3: Cross multiply
    7,863.38x = 10,853 × 4,508.44
  4. Step 4: Simplify right side
    7,863.38x = 48,930,099.32
  5. Step 5: Solve for x
    x = 48,930,099.32/7,863.38
  6. Step 6: Final answer
    x = 6,222.53

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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.