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Finding the Fourth Proportional to 27,663.52, 41,488.96 and 7,941.92

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Solution

The fourth proportional to 27,663.52, 41,488.96 and 7,941.92 is: 11,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.52 : 41,488.96 = 7,941.92 : x
  2. Step 2: Convert to fraction form
    27,663.52/41,488.96 = 7,941.92/x
  3. Step 3: Cross multiply
    27,663.52x = 41,488.96 × 7,941.92
  4. Step 4: Simplify right side
    27,663.52x = 329,502,001.20
  5. Step 5: Solve for x
    x = 329,502,001.20/27,663.52
  6. Step 6: Final answer
    x = 11,911.07

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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.