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Finding the Fourth Proportional to 7,866.32, 11,799.64 and 2,022.80

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Solution

The fourth proportional to 7,866.32, 11,799.64 and 2,022.80 is: 3,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.32 : 11,799.64 = 2,022.80 : x
  2. Step 2: Convert to fraction form
    7,866.32/11,799.64 = 2,022.80/x
  3. Step 3: Cross multiply
    7,866.32x = 11,799.64 × 2,022.80
  4. Step 4: Simplify right side
    7,866.32x = 23,868,311.79
  5. Step 5: Solve for x
    x = 23,868,311.79/7,866.32
  6. Step 6: Final answer
    x = 3,034.24

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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.