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Finding the Fourth Proportional to 7,180, 10,770 and 2,316

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Solution

The fourth proportional to 7,180, 10,770 and 2,316 is: 3,474

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180 : 10,770 = 2,316 : x
  2. Step 2: Convert to fraction form
    7,180/10,770 = 2,316/x
  3. Step 3: Cross multiply
    7,180x = 10,770 × 2,316
  4. Step 4: Simplify right side
    7,180x = 24,943,320
  5. Step 5: Solve for x
    x = 24,943,320/7,180
  6. Step 6: Final answer
    x = 3,474

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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.