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Finding the Fourth Proportional to 6,549, 9,823.59 and 3,633

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Solution

The fourth proportional to 6,549, 9,823.59 and 3,633 is: 5,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549 : 9,823.59 = 3,633 : x
  2. Step 2: Convert to fraction form
    6,549/9,823.59 = 3,633/x
  3. Step 3: Cross multiply
    6,549x = 9,823.59 × 3,633
  4. Step 4: Simplify right side
    6,549x = 35,689,102.47
  5. Step 5: Solve for x
    x = 35,689,102.47/6,549
  6. Step 6: Final answer
    x = 5,449.55

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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.