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Finding the Fourth Proportional to 6,855.68, 9,460.89 and 4,023.09

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Solution

The fourth proportional to 6,855.68, 9,460.89 and 4,023.09 is: 5,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.68 : 9,460.89 = 4,023.09 : x
  2. Step 2: Convert to fraction form
    6,855.68/9,460.89 = 4,023.09/x
  3. Step 3: Cross multiply
    6,855.68x = 9,460.89 × 4,023.09
  4. Step 4: Simplify right side
    6,855.68x = 38,062,011.95
  5. Step 5: Solve for x
    x = 38,062,011.95/6,855.68
  6. Step 6: Final answer
    x = 5,551.90

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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.