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Finding the Fourth Proportional to 27,943.65, 41,906.59 and 9,220.19

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Solution

The fourth proportional to 27,943.65, 41,906.59 and 9,220.19 is: 13,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.65 : 41,906.59 = 9,220.19 : x
  2. Step 2: Convert to fraction form
    27,943.65/41,906.59 = 9,220.19/x
  3. Step 3: Cross multiply
    27,943.65x = 41,906.59 × 9,220.19
  4. Step 4: Simplify right side
    27,943.65x = 386,386,675.95
  5. Step 5: Solve for x
    x = 386,386,675.95/27,943.65
  6. Step 6: Final answer
    x = 13,827.35

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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.