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Finding the Fourth Proportional to 6,462.63, 9,698.19 and 3,543

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Solution

The fourth proportional to 6,462.63, 9,698.19 and 3,543 is: 5,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.63 : 9,698.19 = 3,543 : x
  2. Step 2: Convert to fraction form
    6,462.63/9,698.19 = 3,543/x
  3. Step 3: Cross multiply
    6,462.63x = 9,698.19 × 3,543
  4. Step 4: Simplify right side
    6,462.63x = 34,360,687.17
  5. Step 5: Solve for x
    x = 34,360,687.17/6,462.63
  6. Step 6: Final answer
    x = 5,316.83

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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.