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Finding the Fourth Proportional to 4,620.97, 6,932.14 and 1,699.05

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Solution

The fourth proportional to 4,620.97, 6,932.14 and 1,699.05 is: 2,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.97 : 6,932.14 = 1,699.05 : x
  2. Step 2: Convert to fraction form
    4,620.97/6,932.14 = 1,699.05/x
  3. Step 3: Cross multiply
    4,620.97x = 6,932.14 × 1,699.05
  4. Step 4: Simplify right side
    4,620.97x = 11,778,052.47
  5. Step 5: Solve for x
    x = 11,778,052.47/4,620.97
  6. Step 6: Final answer
    x = 2,548.83

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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.