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Finding the Fourth Proportional to 6,805.76, 9,392.28 and 3,822.08

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Solution

The fourth proportional to 6,805.76, 9,392.28 and 3,822.08 is: 5,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.76 : 9,392.28 = 3,822.08 : x
  2. Step 2: Convert to fraction form
    6,805.76/9,392.28 = 3,822.08/x
  3. Step 3: Cross multiply
    6,805.76x = 9,392.28 × 3,822.08
  4. Step 4: Simplify right side
    6,805.76x = 35,898,045.54
  5. Step 5: Solve for x
    x = 35,898,045.54/6,805.76
  6. Step 6: Final answer
    x = 5,274.66

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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.