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Finding the Fourth Proportional to 6,232.73, 8,602.34 and 3,581.87

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Solution

The fourth proportional to 6,232.73, 8,602.34 and 3,581.87 is: 4,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.73 : 8,602.34 = 3,581.87 : x
  2. Step 2: Convert to fraction form
    6,232.73/8,602.34 = 3,581.87/x
  3. Step 3: Cross multiply
    6,232.73x = 8,602.34 × 3,581.87
  4. Step 4: Simplify right side
    6,232.73x = 30,812,402.65
  5. Step 5: Solve for x
    x = 30,812,402.65/6,232.73
  6. Step 6: Final answer
    x = 4,943.65

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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.