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Finding the Fourth Proportional to 6,669, 9,203.22 and 4,016.52

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Solution

The fourth proportional to 6,669, 9,203.22 and 4,016.52 is: 5,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669 : 9,203.22 = 4,016.52 : x
  2. Step 2: Convert to fraction form
    6,669/9,203.22 = 4,016.52/x
  3. Step 3: Cross multiply
    6,669x = 9,203.22 × 4,016.52
  4. Step 4: Simplify right side
    6,669x = 36,964,917.19
  5. Step 5: Solve for x
    x = 36,964,917.19/6,669
  6. Step 6: Final answer
    x = 5,542.80

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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.