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Finding the Fourth Proportional to 27,581.22, 41,371.92 and 7,590.98

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Solution

The fourth proportional to 27,581.22, 41,371.92 and 7,590.98 is: 11,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,581.22 : 41,371.92 = 7,590.98 : x
  2. Step 2: Convert to fraction form
    27,581.22/41,371.92 = 7,590.98/x
  3. Step 3: Cross multiply
    27,581.22x = 41,371.92 × 7,590.98
  4. Step 4: Simplify right side
    27,581.22x = 314,053,520.71
  5. Step 5: Solve for x
    x = 314,053,520.71/27,581.22
  6. Step 6: Final answer
    x = 11,386.50

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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.