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Finding the Fourth Proportional to 6,502.97, 8,974.03 and 3,518.74

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Solution

The fourth proportional to 6,502.97, 8,974.03 and 3,518.74 is: 4,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.97 : 8,974.03 = 3,518.74 : x
  2. Step 2: Convert to fraction form
    6,502.97/8,974.03 = 3,518.74/x
  3. Step 3: Cross multiply
    6,502.97x = 8,974.03 × 3,518.74
  4. Step 4: Simplify right side
    6,502.97x = 31,577,278.32
  5. Step 5: Solve for x
    x = 31,577,278.32/6,502.97
  6. Step 6: Final answer
    x = 4,855.82

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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.