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Finding the Fourth Proportional to 11,930.68, 17,776.13 and 11,260

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Solution

The fourth proportional to 11,930.68, 17,776.13 and 11,260 is: 16,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.68 : 17,776.13 = 11,260 : x
  2. Step 2: Convert to fraction form
    11,930.68/17,776.13 = 11,260/x
  3. Step 3: Cross multiply
    11,930.68x = 17,776.13 × 11,260
  4. Step 4: Simplify right side
    11,930.68x = 200,159,223.80
  5. Step 5: Solve for x
    x = 200,159,223.80/11,930.68
  6. Step 6: Final answer
    x = 16,776.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.