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Finding the Fourth Proportional to 6,873.94, 10,311.22 and 5,005.65

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Solution

The fourth proportional to 6,873.94, 10,311.22 and 5,005.65 is: 7,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.94 : 10,311.22 = 5,005.65 : x
  2. Step 2: Convert to fraction form
    6,873.94/10,311.22 = 5,005.65/x
  3. Step 3: Cross multiply
    6,873.94x = 10,311.22 × 5,005.65
  4. Step 4: Simplify right side
    6,873.94x = 51,614,358.39
  5. Step 5: Solve for x
    x = 51,614,358.39/6,873.94
  6. Step 6: Final answer
    x = 7,508.70

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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.