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Finding the Fourth Proportional to 9,502.85, 13,115.03 and 7,906.68

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Solution

The fourth proportional to 9,502.85, 13,115.03 and 7,906.68 is: 10,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.85 : 13,115.03 = 7,906.68 : x
  2. Step 2: Convert to fraction form
    9,502.85/13,115.03 = 7,906.68/x
  3. Step 3: Cross multiply
    9,502.85x = 13,115.03 × 7,906.68
  4. Step 4: Simplify right side
    9,502.85x = 103,696,365.17
  5. Step 5: Solve for x
    x = 103,696,365.17/9,502.85
  6. Step 6: Final answer
    x = 10,912.14

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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.