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Finding the Fourth Proportional to 10,641.24, 15,947.22 and 5,436.24

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Solution

The fourth proportional to 10,641.24, 15,947.22 and 5,436.24 is: 8,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.24 : 15,947.22 = 5,436.24 : x
  2. Step 2: Convert to fraction form
    10,641.24/15,947.22 = 5,436.24/x
  3. Step 3: Cross multiply
    10,641.24x = 15,947.22 × 5,436.24
  4. Step 4: Simplify right side
    10,641.24x = 86,692,915.25
  5. Step 5: Solve for x
    x = 86,692,915.25/10,641.24
  6. Step 6: Final answer
    x = 8,146.88

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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.