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Finding the Fourth Proportional to 9,601.75, 14,402.63 and 4,129.75

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Solution

The fourth proportional to 9,601.75, 14,402.63 and 4,129.75 is: 6,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.75 : 14,402.63 = 4,129.75 : x
  2. Step 2: Convert to fraction form
    9,601.75/14,402.63 = 4,129.75/x
  3. Step 3: Cross multiply
    9,601.75x = 14,402.63 × 4,129.75
  4. Step 4: Simplify right side
    9,601.75x = 59,479,261.24
  5. Step 5: Solve for x
    x = 59,479,261.24/9,601.75
  6. Step 6: Final answer
    x = 6,194.63

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Similar ratio
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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.