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Finding the Fourth Proportional to 7,884.65, 11,826.97 and 2,041.24

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Solution

The fourth proportional to 7,884.65, 11,826.97 and 2,041.24 is: 3,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.65 : 11,826.97 = 2,041.24 : x
  2. Step 2: Convert to fraction form
    7,884.65/11,826.97 = 2,041.24/x
  3. Step 3: Cross multiply
    7,884.65x = 11,826.97 × 2,041.24
  4. Step 4: Simplify right side
    7,884.65x = 24,141,649.57
  5. Step 5: Solve for x
    x = 24,141,649.57/7,884.65
  6. Step 6: Final answer
    x = 3,061.86

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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.