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Finding the Fourth Proportional to 4,596.68, 6,882.78 and 3,138.68

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Solution

The fourth proportional to 4,596.68, 6,882.78 and 3,138.68 is: 4,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.68 : 6,882.78 = 3,138.68 : x
  2. Step 2: Convert to fraction form
    4,596.68/6,882.78 = 3,138.68/x
  3. Step 3: Cross multiply
    4,596.68x = 6,882.78 × 3,138.68
  4. Step 4: Simplify right side
    4,596.68x = 21,602,843.93
  5. Step 5: Solve for x
    x = 21,602,843.93/4,596.68
  6. Step 6: Final answer
    x = 4,699.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.