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Finding the Fourth Proportional to 7,187.52, 10,776.20 and 2,506.48

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Solution

The fourth proportional to 7,187.52, 10,776.20 and 2,506.48 is: 3,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.52 : 10,776.20 = 2,506.48 : x
  2. Step 2: Convert to fraction form
    7,187.52/10,776.20 = 2,506.48/x
  3. Step 3: Cross multiply
    7,187.52x = 10,776.20 × 2,506.48
  4. Step 4: Simplify right side
    7,187.52x = 27,010,329.78
  5. Step 5: Solve for x
    x = 27,010,329.78/7,187.52
  6. Step 6: Final answer
    x = 3,757.95

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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.