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Finding the Fourth Proportional to 6,973.26, 10,449.50 and 3,854.16

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Solution

The fourth proportional to 6,973.26, 10,449.50 and 3,854.16 is: 5,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.26 : 10,449.50 = 3,854.16 : x
  2. Step 2: Convert to fraction form
    6,973.26/10,449.50 = 3,854.16/x
  3. Step 3: Cross multiply
    6,973.26x = 10,449.50 × 3,854.16
  4. Step 4: Simplify right side
    6,973.26x = 40,274,044.92
  5. Step 5: Solve for x
    x = 40,274,044.92/6,973.26
  6. Step 6: Final answer
    x = 5,775.50

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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.