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Finding the Fourth Proportional to 6,807.12, 9,393.87 and 3,822.99

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Solution

The fourth proportional to 6,807.12, 9,393.87 and 3,822.99 is: 5,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.12 : 9,393.87 = 3,822.99 : x
  2. Step 2: Convert to fraction form
    6,807.12/9,393.87 = 3,822.99/x
  3. Step 3: Cross multiply
    6,807.12x = 9,393.87 × 3,822.99
  4. Step 4: Simplify right side
    6,807.12x = 35,912,671.07
  5. Step 5: Solve for x
    x = 35,912,671.07/6,807.12
  6. Step 6: Final answer
    x = 5,275.75

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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.