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Finding the Fourth Proportional to 7,641.92, 10,546.24 and 4,285.44

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Solution

The fourth proportional to 7,641.92, 10,546.24 and 4,285.44 is: 5,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.92 : 10,546.24 = 4,285.44 : x
  2. Step 2: Convert to fraction form
    7,641.92/10,546.24 = 4,285.44/x
  3. Step 3: Cross multiply
    7,641.92x = 10,546.24 × 4,285.44
  4. Step 4: Simplify right side
    7,641.92x = 45,195,278.75
  5. Step 5: Solve for x
    x = 45,195,278.75/7,641.92
  6. Step 6: Final answer
    x = 5,914.13

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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.