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Finding the Fourth Proportional to 27,764.84, 41,647.22 and 9,044.84

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Solution

The fourth proportional to 27,764.84, 41,647.22 and 9,044.84 is: 13,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.84 : 41,647.22 = 9,044.84 : x
  2. Step 2: Convert to fraction form
    27,764.84/41,647.22 = 9,044.84/x
  3. Step 3: Cross multiply
    27,764.84x = 41,647.22 × 9,044.84
  4. Step 4: Simplify right side
    27,764.84x = 376,692,545.46
  5. Step 5: Solve for x
    x = 376,692,545.46/27,764.84
  6. Step 6: Final answer
    x = 13,567.25

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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.