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Finding the Fourth Proportional to 6,973, 9,622.74 and 3,829.18

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Solution

The fourth proportional to 6,973, 9,622.74 and 3,829.18 is: 5,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973 : 9,622.74 = 3,829.18 : x
  2. Step 2: Convert to fraction form
    6,973/9,622.74 = 3,829.18/x
  3. Step 3: Cross multiply
    6,973x = 9,622.74 × 3,829.18
  4. Step 4: Simplify right side
    6,973x = 36,847,203.55
  5. Step 5: Solve for x
    x = 36,847,203.55/6,973
  6. Step 6: Final answer
    x = 5,284.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.