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Finding the Fourth Proportional to 6,156.06, 9,234.10 and 1,539.06

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Solution

The fourth proportional to 6,156.06, 9,234.10 and 1,539.06 is: 2,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.06 : 9,234.10 = 1,539.06 : x
  2. Step 2: Convert to fraction form
    6,156.06/9,234.10 = 1,539.06/x
  3. Step 3: Cross multiply
    6,156.06x = 9,234.10 × 1,539.06
  4. Step 4: Simplify right side
    6,156.06x = 14,211,833.95
  5. Step 5: Solve for x
    x = 14,211,833.95/6,156.06
  6. Step 6: Final answer
    x = 2,308.59

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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.