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Finding the Fourth Proportional to 9,877.31, 13,621.86 and 5,896.97

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Solution

The fourth proportional to 9,877.31, 13,621.86 and 5,896.97 is: 8,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.31 : 13,621.86 = 5,896.97 : x
  2. Step 2: Convert to fraction form
    9,877.31/13,621.86 = 5,896.97/x
  3. Step 3: Cross multiply
    9,877.31x = 13,621.86 × 5,896.97
  4. Step 4: Simplify right side
    9,877.31x = 80,327,631.65
  5. Step 5: Solve for x
    x = 80,327,631.65/9,877.31
  6. Step 6: Final answer
    x = 8,132.55

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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.