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Finding the Fourth Proportional to 11,474.16, 15,834.78 and 6,439.50

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Solution

The fourth proportional to 11,474.16, 15,834.78 and 6,439.50 is: 8,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.16 : 15,834.78 = 6,439.50 : x
  2. Step 2: Convert to fraction form
    11,474.16/15,834.78 = 6,439.50/x
  3. Step 3: Cross multiply
    11,474.16x = 15,834.78 × 6,439.50
  4. Step 4: Simplify right side
    11,474.16x = 101,968,065.81
  5. Step 5: Solve for x
    x = 101,968,065.81/11,474.16
  6. Step 6: Final answer
    x = 8,886.76

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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.