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Finding the Fourth Proportional to 10,648.89, 15,973.34 and 8,354.97

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Solution

The fourth proportional to 10,648.89, 15,973.34 and 8,354.97 is: 12,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.89 : 15,973.34 = 8,354.97 : x
  2. Step 2: Convert to fraction form
    10,648.89/15,973.34 = 8,354.97/x
  3. Step 3: Cross multiply
    10,648.89x = 15,973.34 × 8,354.97
  4. Step 4: Simplify right side
    10,648.89x = 133,456,734.72
  5. Step 5: Solve for x
    x = 133,456,734.72/10,648.89
  6. Step 6: Final answer
    x = 12,532.46

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Similar ratio
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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.