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Finding the Fourth Proportional to 6,901.65, 10,352.64 and 2,519.10

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Solution

The fourth proportional to 6,901.65, 10,352.64 and 2,519.10 is: 3,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.65 : 10,352.64 = 2,519.10 : x
  2. Step 2: Convert to fraction form
    6,901.65/10,352.64 = 2,519.10/x
  3. Step 3: Cross multiply
    6,901.65x = 10,352.64 × 2,519.10
  4. Step 4: Simplify right side
    6,901.65x = 26,079,335.42
  5. Step 5: Solve for x
    x = 26,079,335.42/6,901.65
  6. Step 6: Final answer
    x = 3,778.71

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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.