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Finding the Fourth Proportional to 6,534.36, 9,801.71 and 1,854.52

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Solution

The fourth proportional to 6,534.36, 9,801.71 and 1,854.52 is: 2,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.36 : 9,801.71 = 1,854.52 : x
  2. Step 2: Convert to fraction form
    6,534.36/9,801.71 = 1,854.52/x
  3. Step 3: Cross multiply
    6,534.36x = 9,801.71 × 1,854.52
  4. Step 4: Simplify right side
    6,534.36x = 18,177,408.95
  5. Step 5: Solve for x
    x = 18,177,408.95/6,534.36
  6. Step 6: Final answer
    x = 2,781.82

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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.