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Finding the Fourth Proportional to 26,573.78, 39,867.56 and 7,853.06

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Solution

The fourth proportional to 26,573.78, 39,867.56 and 7,853.06 is: 11,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,573.78 : 39,867.56 = 7,853.06 : x
  2. Step 2: Convert to fraction form
    26,573.78/39,867.56 = 7,853.06/x
  3. Step 3: Cross multiply
    26,573.78x = 39,867.56 × 7,853.06
  4. Step 4: Simplify right side
    26,573.78x = 313,082,340.73
  5. Step 5: Solve for x
    x = 313,082,340.73/26,573.78
  6. Step 6: Final answer
    x = 11,781.63

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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.