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Finding the Fourth Proportional to 6,449.22, 9,667.76 and 3,523.50

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Solution

The fourth proportional to 6,449.22, 9,667.76 and 3,523.50 is: 5,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.22 : 9,667.76 = 3,523.50 : x
  2. Step 2: Convert to fraction form
    6,449.22/9,667.76 = 3,523.50/x
  3. Step 3: Cross multiply
    6,449.22x = 9,667.76 × 3,523.50
  4. Step 4: Simplify right side
    6,449.22x = 34,064,334.74
  5. Step 5: Solve for x
    x = 34,064,334.74/6,449.22
  6. Step 6: Final answer
    x = 5,281.93

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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.