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Finding the Fourth Proportional to 6,268.80, 9,404.16 and 1,885.80

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Solution

The fourth proportional to 6,268.80, 9,404.16 and 1,885.80 is: 2,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.80 : 9,404.16 = 1,885.80 : x
  2. Step 2: Convert to fraction form
    6,268.80/9,404.16 = 1,885.80/x
  3. Step 3: Cross multiply
    6,268.80x = 9,404.16 × 1,885.80
  4. Step 4: Simplify right side
    6,268.80x = 17,734,364.93
  5. Step 5: Solve for x
    x = 17,734,364.93/6,268.80
  6. Step 6: Final answer
    x = 2,828.99

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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.