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Finding the Fourth Proportional to 17,758, 24,506.82 and 10,206.76

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Solution

The fourth proportional to 17,758, 24,506.82 and 10,206.76 is: 14,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758 : 24,506.82 = 10,206.76 : x
  2. Step 2: Convert to fraction form
    17,758/24,506.82 = 10,206.76/x
  3. Step 3: Cross multiply
    17,758x = 24,506.82 × 10,206.76
  4. Step 4: Simplify right side
    17,758x = 250,135,230.10
  5. Step 5: Solve for x
    x = 250,135,230.10/17,758
  6. Step 6: Final answer
    x = 14,085.78

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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.