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Finding the Fourth Proportional to 6,822.81, 9,415.35 and 3,838.55

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Solution

The fourth proportional to 6,822.81, 9,415.35 and 3,838.55 is: 5,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.81 : 9,415.35 = 3,838.55 : x
  2. Step 2: Convert to fraction form
    6,822.81/9,415.35 = 3,838.55/x
  3. Step 3: Cross multiply
    6,822.81x = 9,415.35 × 3,838.55
  4. Step 4: Simplify right side
    6,822.81x = 36,141,244.67
  5. Step 5: Solve for x
    x = 36,141,244.67/6,822.81
  6. Step 6: Final answer
    x = 5,297.12

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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.