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Finding the Fourth Proportional to 4,489.65, 6,733.62 and 1,202.76

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Solution

The fourth proportional to 4,489.65, 6,733.62 and 1,202.76 is: 1,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.65 : 6,733.62 = 1,202.76 : x
  2. Step 2: Convert to fraction form
    4,489.65/6,733.62 = 1,202.76/x
  3. Step 3: Cross multiply
    4,489.65x = 6,733.62 × 1,202.76
  4. Step 4: Simplify right side
    4,489.65x = 8,098,928.79
  5. Step 5: Solve for x
    x = 8,098,928.79/4,489.65
  6. Step 6: Final answer
    x = 1,803.91

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1.5x scale

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.