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Finding the Fourth Proportional to 9,601.78, 13,252.64 and 6,238.74

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Solution

The fourth proportional to 9,601.78, 13,252.64 and 6,238.74 is: 8,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.78 : 13,252.64 = 6,238.74 : x
  2. Step 2: Convert to fraction form
    9,601.78/13,252.64 = 6,238.74/x
  3. Step 3: Cross multiply
    9,601.78x = 13,252.64 × 6,238.74
  4. Step 4: Simplify right side
    9,601.78x = 82,679,775.27
  5. Step 5: Solve for x
    x = 82,679,775.27/9,601.78
  6. Step 6: Final answer
    x = 8,610.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.