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Finding the Fourth Proportional to 6,866.64, 10,293.89 and 2,968.92

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Solution

The fourth proportional to 6,866.64, 10,293.89 and 2,968.92 is: 4,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.64 : 10,293.89 = 2,968.92 : x
  2. Step 2: Convert to fraction form
    6,866.64/10,293.89 = 2,968.92/x
  3. Step 3: Cross multiply
    6,866.64x = 10,293.89 × 2,968.92
  4. Step 4: Simplify right side
    6,866.64x = 30,561,721.05
  5. Step 5: Solve for x
    x = 30,561,721.05/6,866.64
  6. Step 6: Final answer
    x = 4,450.75

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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.