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Finding the Fourth Proportional to 6,171.78, 9,255.78 and 2,472.06

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Solution

The fourth proportional to 6,171.78, 9,255.78 and 2,472.06 is: 3,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.78 : 9,255.78 = 2,472.06 : x
  2. Step 2: Convert to fraction form
    6,171.78/9,255.78 = 2,472.06/x
  3. Step 3: Cross multiply
    6,171.78x = 9,255.78 × 2,472.06
  4. Step 4: Simplify right side
    6,171.78x = 22,880,843.51
  5. Step 5: Solve for x
    x = 22,880,843.51/6,171.78
  6. Step 6: Final answer
    x = 3,707.33

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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.