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Finding the Fourth Proportional to 27,756, 38,303.89 and 15,180.75

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Solution

The fourth proportional to 27,756, 38,303.89 and 15,180.75 is: 20,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756 : 38,303.89 = 15,180.75 : x
  2. Step 2: Convert to fraction form
    27,756/38,303.89 = 15,180.75/x
  3. Step 3: Cross multiply
    27,756x = 38,303.89 × 15,180.75
  4. Step 4: Simplify right side
    27,756x = 581,481,740.17
  5. Step 5: Solve for x
    x = 581,481,740.17/27,756
  6. Step 6: Final answer
    x = 20,949.77

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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.