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Finding the Fourth Proportional to 9,034.78, 13,552.24 and 2,794.78

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Solution

The fourth proportional to 9,034.78, 13,552.24 and 2,794.78 is: 4,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.78 : 13,552.24 = 2,794.78 : x
  2. Step 2: Convert to fraction form
    9,034.78/13,552.24 = 2,794.78/x
  3. Step 3: Cross multiply
    9,034.78x = 13,552.24 × 2,794.78
  4. Step 4: Simplify right side
    9,034.78x = 37,875,529.31
  5. Step 5: Solve for x
    x = 37,875,529.31/9,034.78
  6. Step 6: Final answer
    x = 4,192.19

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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.