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Finding the Fourth Proportional to 27,508.40, 41,258.04 and 7,782.44

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Solution

The fourth proportional to 27,508.40, 41,258.04 and 7,782.44 is: 11,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,508.40 : 41,258.04 = 7,782.44 : x
  2. Step 2: Convert to fraction form
    27,508.40/41,258.04 = 7,782.44/x
  3. Step 3: Cross multiply
    27,508.40x = 41,258.04 × 7,782.44
  4. Step 4: Simplify right side
    27,508.40x = 321,088,220.82
  5. Step 5: Solve for x
    x = 321,088,220.82/27,508.40
  6. Step 6: Final answer
    x = 11,672.37

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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.