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Finding the Fourth Proportional to 6,776.30, 9,351 and 3,791.57

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Solution

The fourth proportional to 6,776.30, 9,351 and 3,791.57 is: 5,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.30 : 9,351 = 3,791.57 : x
  2. Step 2: Convert to fraction form
    6,776.30/9,351 = 3,791.57/x
  3. Step 3: Cross multiply
    6,776.30x = 9,351 × 3,791.57
  4. Step 4: Simplify right side
    6,776.30x = 35,454,971.07
  5. Step 5: Solve for x
    x = 35,454,971.07/6,776.30
  6. Step 6: Final answer
    x = 5,232.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.