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Finding the Fourth Proportional to 6,499.75, 8,969.66 and 3,667.73

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Solution

The fourth proportional to 6,499.75, 8,969.66 and 3,667.73 is: 5,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.75 : 8,969.66 = 3,667.73 : x
  2. Step 2: Convert to fraction form
    6,499.75/8,969.66 = 3,667.73/x
  3. Step 3: Cross multiply
    6,499.75x = 8,969.66 × 3,667.73
  4. Step 4: Simplify right side
    6,499.75x = 32,898,246.22
  5. Step 5: Solve for x
    x = 32,898,246.22/6,499.75
  6. Step 6: Final answer
    x = 5,061.46

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1.5x scale

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.