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Finding the Fourth Proportional to 27,407.84, 41,085.84 and 10,778.54

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Solution

The fourth proportional to 27,407.84, 41,085.84 and 10,778.54 is: 16,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.84 : 41,085.84 = 10,778.54 : x
  2. Step 2: Convert to fraction form
    27,407.84/41,085.84 = 10,778.54/x
  3. Step 3: Cross multiply
    27,407.84x = 41,085.84 × 10,778.54
  4. Step 4: Simplify right side
    27,407.84x = 442,845,369.87
  5. Step 5: Solve for x
    x = 442,845,369.87/27,407.84
  6. Step 6: Final answer
    x = 16,157.62

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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.