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Finding the Fourth Proportional to 4,282.96, 6,393.74 and 4,093.84

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Solution

The fourth proportional to 4,282.96, 6,393.74 and 4,093.84 is: 6,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.96 : 6,393.74 = 4,093.84 : x
  2. Step 2: Convert to fraction form
    4,282.96/6,393.74 = 4,093.84/x
  3. Step 3: Cross multiply
    4,282.96x = 6,393.74 × 4,093.84
  4. Step 4: Simplify right side
    4,282.96x = 26,174,948.56
  5. Step 5: Solve for x
    x = 26,174,948.56/4,282.96
  6. Step 6: Final answer
    x = 6,111.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.