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Finding the Fourth Proportional to 5,943.10, 8,217.14 and 5,204.99

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Solution

The fourth proportional to 5,943.10, 8,217.14 and 5,204.99 is: 7,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.10 : 8,217.14 = 5,204.99 : x
  2. Step 2: Convert to fraction form
    5,943.10/8,217.14 = 5,204.99/x
  3. Step 3: Cross multiply
    5,943.10x = 8,217.14 × 5,204.99
  4. Step 4: Simplify right side
    5,943.10x = 42,770,131.53
  5. Step 5: Solve for x
    x = 42,770,131.53/5,943.10
  6. Step 6: Final answer
    x = 7,196.60

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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.