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Finding the Fourth Proportional to 9,961.50, 13,717.19 and 9,740.48

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Solution

The fourth proportional to 9,961.50, 13,717.19 and 9,740.48 is: 13,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.50 : 13,717.19 = 9,740.48 : x
  2. Step 2: Convert to fraction form
    9,961.50/13,717.19 = 9,740.48/x
  3. Step 3: Cross multiply
    9,961.50x = 13,717.19 × 9,740.48
  4. Step 4: Simplify right side
    9,961.50x = 133,612,022.06
  5. Step 5: Solve for x
    x = 133,612,022.06/9,961.50
  6. Step 6: Final answer
    x = 13,412.85

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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.