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Finding the Fourth Proportional to 11,700.84, 17,552.90 and 3,800.82

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Solution

The fourth proportional to 11,700.84, 17,552.90 and 3,800.82 is: 5,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.84 : 17,552.90 = 3,800.82 : x
  2. Step 2: Convert to fraction form
    11,700.84/17,552.90 = 3,800.82/x
  3. Step 3: Cross multiply
    11,700.84x = 17,552.90 × 3,800.82
  4. Step 4: Simplify right side
    11,700.84x = 66,715,413.38
  5. Step 5: Solve for x
    x = 66,715,413.38/11,700.84
  6. Step 6: Final answer
    x = 5,701.77

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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.