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Finding the Fourth Proportional to 6,551.96, 9,041.82 and 3,567.88

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Solution

The fourth proportional to 6,551.96, 9,041.82 and 3,567.88 is: 4,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.96 : 9,041.82 = 3,567.88 : x
  2. Step 2: Convert to fraction form
    6,551.96/9,041.82 = 3,567.88/x
  3. Step 3: Cross multiply
    6,551.96x = 9,041.82 × 3,567.88
  4. Step 4: Simplify right side
    6,551.96x = 32,260,128.74
  5. Step 5: Solve for x
    x = 32,260,128.74/6,551.96
  6. Step 6: Final answer
    x = 4,923.74

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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.