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Finding the Fourth Proportional to 11,510.46, 15,884.94 and 6,474.96

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Solution

The fourth proportional to 11,510.46, 15,884.94 and 6,474.96 is: 8,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.46 : 15,884.94 = 6,474.96 : x
  2. Step 2: Convert to fraction form
    11,510.46/15,884.94 = 6,474.96/x
  3. Step 3: Cross multiply
    11,510.46x = 15,884.94 × 6,474.96
  4. Step 4: Simplify right side
    11,510.46x = 102,854,351.10
  5. Step 5: Solve for x
    x = 102,854,351.10/11,510.46
  6. Step 6: Final answer
    x = 8,935.73

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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.