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Finding the Fourth Proportional to 27,764.47, 41,646.67 and 9,044.47

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Solution

The fourth proportional to 27,764.47, 41,646.67 and 9,044.47 is: 13,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.47 : 41,646.67 = 9,044.47 : x
  2. Step 2: Convert to fraction form
    27,764.47/41,646.67 = 9,044.47/x
  3. Step 3: Cross multiply
    27,764.47x = 41,646.67 × 9,044.47
  4. Step 4: Simplify right side
    27,764.47x = 376,672,248.95
  5. Step 5: Solve for x
    x = 376,672,248.95/27,764.47
  6. Step 6: Final answer
    x = 13,566.70

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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.