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Finding the Fourth Proportional to 6,156.78, 9,234.12 and 1,773.22

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Solution

The fourth proportional to 6,156.78, 9,234.12 and 1,773.22 is: 2,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.78 : 9,234.12 = 1,773.22 : x
  2. Step 2: Convert to fraction form
    6,156.78/9,234.12 = 1,773.22/x
  3. Step 3: Cross multiply
    6,156.78x = 9,234.12 × 1,773.22
  4. Step 4: Simplify right side
    6,156.78x = 16,374,126.27
  5. Step 5: Solve for x
    x = 16,374,126.27/6,156.78
  6. Step 6: Final answer
    x = 2,659.53

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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.