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Finding the Fourth Proportional to 9,610.95, 13,258.08 and 8,349.18

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Solution

The fourth proportional to 9,610.95, 13,258.08 and 8,349.18 is: 11,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.95 : 13,258.08 = 8,349.18 : x
  2. Step 2: Convert to fraction form
    9,610.95/13,258.08 = 8,349.18/x
  3. Step 3: Cross multiply
    9,610.95x = 13,258.08 × 8,349.18
  4. Step 4: Simplify right side
    9,610.95x = 110,694,046.66
  5. Step 5: Solve for x
    x = 110,694,046.66/9,610.95
  6. Step 6: Final answer
    x = 11,517.49

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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.