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Finding the Fourth Proportional to 9,961.29, 13,703.97 and 9,684.59

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Solution

The fourth proportional to 9,961.29, 13,703.97 and 9,684.59 is: 13,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.29 : 13,703.97 = 9,684.59 : x
  2. Step 2: Convert to fraction form
    9,961.29/13,703.97 = 9,684.59/x
  3. Step 3: Cross multiply
    9,961.29x = 13,703.97 × 9,684.59
  4. Step 4: Simplify right side
    9,961.29x = 132,717,262.30
  5. Step 5: Solve for x
    x = 132,717,262.30/9,961.29
  6. Step 6: Final answer
    x = 13,323.30

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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.