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Finding the Fourth Proportional to 6,314.97, 9,470.87 and 2,618.22

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Solution

The fourth proportional to 6,314.97, 9,470.87 and 2,618.22 is: 3,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.97 : 9,470.87 = 2,618.22 : x
  2. Step 2: Convert to fraction form
    6,314.97/9,470.87 = 2,618.22/x
  3. Step 3: Cross multiply
    6,314.97x = 9,470.87 × 2,618.22
  4. Step 4: Simplify right side
    6,314.97x = 24,796,821.25
  5. Step 5: Solve for x
    x = 24,796,821.25/6,314.97
  6. Step 6: Final answer
    x = 3,926.67

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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.