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Finding the Fourth Proportional to 7,131.84, 10,697.84 and 2,511.60

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Solution

The fourth proportional to 7,131.84, 10,697.84 and 2,511.60 is: 3,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.84 : 10,697.84 = 2,511.60 : x
  2. Step 2: Convert to fraction form
    7,131.84/10,697.84 = 2,511.60/x
  3. Step 3: Cross multiply
    7,131.84x = 10,697.84 × 2,511.60
  4. Step 4: Simplify right side
    7,131.84x = 26,868,694.94
  5. Step 5: Solve for x
    x = 26,868,694.94/7,131.84
  6. Step 6: Final answer
    x = 3,767.43

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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.