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Finding the Fourth Proportional to 9,601.88, 14,402.82 and 2,305.88

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Solution

The fourth proportional to 9,601.88, 14,402.82 and 2,305.88 is: 3,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.88 : 14,402.82 = 2,305.88 : x
  2. Step 2: Convert to fraction form
    9,601.88/14,402.82 = 2,305.88/x
  3. Step 3: Cross multiply
    9,601.88x = 14,402.82 × 2,305.88
  4. Step 4: Simplify right side
    9,601.88x = 33,211,102.57
  5. Step 5: Solve for x
    x = 33,211,102.57/9,601.88
  6. Step 6: Final answer
    x = 3,458.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.