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Finding the Fourth Proportional to 7,812.39, 11,716.77 and 2,264.49

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Solution

The fourth proportional to 7,812.39, 11,716.77 and 2,264.49 is: 3,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.39 : 11,716.77 = 2,264.49 : x
  2. Step 2: Convert to fraction form
    7,812.39/11,716.77 = 2,264.49/x
  3. Step 3: Cross multiply
    7,812.39x = 11,716.77 × 2,264.49
  4. Step 4: Simplify right side
    7,812.39x = 26,532,508.50
  5. Step 5: Solve for x
    x = 26,532,508.50/7,812.39
  6. Step 6: Final answer
    x = 3,396.21

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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.