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Finding the Fourth Proportional to 6,780.88, 9,357.90 and 4,194.38

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Solution

The fourth proportional to 6,780.88, 9,357.90 and 4,194.38 is: 5,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.88 : 9,357.90 = 4,194.38 : x
  2. Step 2: Convert to fraction form
    6,780.88/9,357.90 = 4,194.38/x
  3. Step 3: Cross multiply
    6,780.88x = 9,357.90 × 4,194.38
  4. Step 4: Simplify right side
    6,780.88x = 39,250,588.60
  5. Step 5: Solve for x
    x = 39,250,588.60/6,780.88
  6. Step 6: Final answer
    x = 5,788.42

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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.