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Finding the Fourth Proportional to 8,183.78, 11,294.13 and 5,040.14

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Solution

The fourth proportional to 8,183.78, 11,294.13 and 5,040.14 is: 6,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.78 : 11,294.13 = 5,040.14 : x
  2. Step 2: Convert to fraction form
    8,183.78/11,294.13 = 5,040.14/x
  3. Step 3: Cross multiply
    8,183.78x = 11,294.13 × 5,040.14
  4. Step 4: Simplify right side
    8,183.78x = 56,923,996.38
  5. Step 5: Solve for x
    x = 56,923,996.38/8,183.78
  6. Step 6: Final answer
    x = 6,955.71

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Half scale
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Double scale
Find fourth proportional to 8,184.78, 11,295.51 and 5,041.14
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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.