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Finding the Fourth Proportional to 10,923.98, 16,375.59 and 6,964.12

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Solution

The fourth proportional to 10,923.98, 16,375.59 and 6,964.12 is: 10,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.98 : 16,375.59 = 6,964.12 : x
  2. Step 2: Convert to fraction form
    10,923.98/16,375.59 = 6,964.12/x
  3. Step 3: Cross multiply
    10,923.98x = 16,375.59 × 6,964.12
  4. Step 4: Simplify right side
    10,923.98x = 114,041,640.36
  5. Step 5: Solve for x
    x = 114,041,640.36/10,923.98
  6. Step 6: Final answer
    x = 10,439.57

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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.