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Finding the Fourth Proportional to 9,156.54, 13,734.82 and 2,230.98

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Solution

The fourth proportional to 9,156.54, 13,734.82 and 2,230.98 is: 3,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.54 : 13,734.82 = 2,230.98 : x
  2. Step 2: Convert to fraction form
    9,156.54/13,734.82 = 2,230.98/x
  3. Step 3: Cross multiply
    9,156.54x = 13,734.82 × 2,230.98
  4. Step 4: Simplify right side
    9,156.54x = 30,642,108.72
  5. Step 5: Solve for x
    x = 30,642,108.72/9,156.54
  6. Step 6: Final answer
    x = 3,346.47

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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.