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Finding the Fourth Proportional to 9,601.76, 14,401.96 and 5,904.56

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Solution

The fourth proportional to 9,601.76, 14,401.96 and 5,904.56 is: 8,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.76 : 14,401.96 = 5,904.56 : x
  2. Step 2: Convert to fraction form
    9,601.76/14,401.96 = 5,904.56/x
  3. Step 3: Cross multiply
    9,601.76x = 14,401.96 × 5,904.56
  4. Step 4: Simplify right side
    9,601.76x = 85,037,236.94
  5. Step 5: Solve for x
    x = 85,037,236.94/9,601.76
  6. Step 6: Final answer
    x = 8,856.42

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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.