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Finding the Fourth Proportional to 6,711.50, 10,065.90 and 2,329.14

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Solution

The fourth proportional to 6,711.50, 10,065.90 and 2,329.14 is: 3,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.50 : 10,065.90 = 2,329.14 : x
  2. Step 2: Convert to fraction form
    6,711.50/10,065.90 = 2,329.14/x
  3. Step 3: Cross multiply
    6,711.50x = 10,065.90 × 2,329.14
  4. Step 4: Simplify right side
    6,711.50x = 23,444,890.33
  5. Step 5: Solve for x
    x = 23,444,890.33/6,711.50
  6. Step 6: Final answer
    x = 3,493.24

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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.