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Finding the Fourth Proportional to 27,570.78, 41,356.41 and 7,849.32

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Solution

The fourth proportional to 27,570.78, 41,356.41 and 7,849.32 is: 11,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.78 : 41,356.41 = 7,849.32 : x
  2. Step 2: Convert to fraction form
    27,570.78/41,356.41 = 7,849.32/x
  3. Step 3: Cross multiply
    27,570.78x = 41,356.41 × 7,849.32
  4. Step 4: Simplify right side
    27,570.78x = 324,619,696.14
  5. Step 5: Solve for x
    x = 324,619,696.14/27,570.78
  6. Step 6: Final answer
    x = 11,774.05

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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.