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Finding the Fourth Proportional to 6,806.88, 9,393.36 and 3,822.72

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Solution

The fourth proportional to 6,806.88, 9,393.36 and 3,822.72 is: 5,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.88 : 9,393.36 = 3,822.72 : x
  2. Step 2: Convert to fraction form
    6,806.88/9,393.36 = 3,822.72/x
  3. Step 3: Cross multiply
    6,806.88x = 9,393.36 × 3,822.72
  4. Step 4: Simplify right side
    6,806.88x = 35,908,185.14
  5. Step 5: Solve for x
    x = 35,908,185.14/6,806.88
  6. Step 6: Final answer
    x = 5,275.28

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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.