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Finding the Fourth Proportional to 6,156.56, 9,234.78 and 1,539.56

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Solution

The fourth proportional to 6,156.56, 9,234.78 and 1,539.56 is: 2,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.56 : 9,234.78 = 1,539.56 : x
  2. Step 2: Convert to fraction form
    6,156.56/9,234.78 = 1,539.56/x
  3. Step 3: Cross multiply
    6,156.56x = 9,234.78 × 1,539.56
  4. Step 4: Simplify right side
    6,156.56x = 14,217,497.90
  5. Step 5: Solve for x
    x = 14,217,497.90/6,156.56
  6. Step 6: Final answer
    x = 2,309.32

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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.