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Finding the Fourth Proportional to 9,652.78, 14,481.29 and 5,494.75

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Solution

The fourth proportional to 9,652.78, 14,481.29 and 5,494.75 is: 8,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.78 : 14,481.29 = 5,494.75 : x
  2. Step 2: Convert to fraction form
    9,652.78/14,481.29 = 5,494.75/x
  3. Step 3: Cross multiply
    9,652.78x = 14,481.29 × 5,494.75
  4. Step 4: Simplify right side
    9,652.78x = 79,571,045.76
  5. Step 5: Solve for x
    x = 79,571,045.76/9,652.78
  6. Step 6: Final answer
    x = 8,243.33

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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.