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Finding the Fourth Proportional to 6,866.76, 10,297.68 and 2,969.04

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Solution

The fourth proportional to 6,866.76, 10,297.68 and 2,969.04 is: 4,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.76 : 10,297.68 = 2,969.04 : x
  2. Step 2: Convert to fraction form
    6,866.76/10,297.68 = 2,969.04/x
  3. Step 3: Cross multiply
    6,866.76x = 10,297.68 × 2,969.04
  4. Step 4: Simplify right side
    6,866.76x = 30,574,223.83
  5. Step 5: Solve for x
    x = 30,574,223.83/6,866.76
  6. Step 6: Final answer
    x = 4,452.50

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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.