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Finding the Fourth Proportional to 7,866.92, 11,799.24 and 2,319.14

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Solution

The fourth proportional to 7,866.92, 11,799.24 and 2,319.14 is: 3,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.92 : 11,799.24 = 2,319.14 : x
  2. Step 2: Convert to fraction form
    7,866.92/11,799.24 = 2,319.14/x
  3. Step 3: Cross multiply
    7,866.92x = 11,799.24 × 2,319.14
  4. Step 4: Simplify right side
    7,866.92x = 27,364,089.45
  5. Step 5: Solve for x
    x = 27,364,089.45/7,866.92
  6. Step 6: Final answer
    x = 3,478.37

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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.