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Finding the Fourth Proportional to 6,914.71, 10,372.13 and 2,234.72

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Solution

The fourth proportional to 6,914.71, 10,372.13 and 2,234.72 is: 3,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.71 : 10,372.13 = 2,234.72 : x
  2. Step 2: Convert to fraction form
    6,914.71/10,372.13 = 2,234.72/x
  3. Step 3: Cross multiply
    6,914.71x = 10,372.13 × 2,234.72
  4. Step 4: Simplify right side
    6,914.71x = 23,178,769.25
  5. Step 5: Solve for x
    x = 23,178,769.25/6,914.71
  6. Step 6: Final answer
    x = 3,352.10

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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.