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Finding the Fourth Proportional to 27,780, 38,336.40 and 15,204.76

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Solution

The fourth proportional to 27,780, 38,336.40 and 15,204.76 is: 20,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780 : 38,336.40 = 15,204.76 : x
  2. Step 2: Convert to fraction form
    27,780/38,336.40 = 15,204.76/x
  3. Step 3: Cross multiply
    27,780x = 38,336.40 × 15,204.76
  4. Step 4: Simplify right side
    27,780x = 582,895,761.26
  5. Step 5: Solve for x
    x = 582,895,761.26/27,780
  6. Step 6: Final answer
    x = 20,982.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.