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Finding the Fourth Proportional to 6,550.82, 9,824.28 and 1,870.52

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Solution

The fourth proportional to 6,550.82, 9,824.28 and 1,870.52 is: 2,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.82 : 9,824.28 = 1,870.52 : x
  2. Step 2: Convert to fraction form
    6,550.82/9,824.28 = 1,870.52/x
  3. Step 3: Cross multiply
    6,550.82x = 9,824.28 × 1,870.52
  4. Step 4: Simplify right side
    6,550.82x = 18,376,512.23
  5. Step 5: Solve for x
    x = 18,376,512.23/6,550.82
  6. Step 6: Final answer
    x = 2,805.22

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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.