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Finding the Fourth Proportional to 6,394.78, 9,594.51 and 2,697.94

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Solution

The fourth proportional to 6,394.78, 9,594.51 and 2,697.94 is: 4,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.78 : 9,594.51 = 2,697.94 : x
  2. Step 2: Convert to fraction form
    6,394.78/9,594.51 = 2,697.94/x
  3. Step 3: Cross multiply
    6,394.78x = 9,594.51 × 2,697.94
  4. Step 4: Simplify right side
    6,394.78x = 25,885,412.31
  5. Step 5: Solve for x
    x = 25,885,412.31/6,394.78
  6. Step 6: Final answer
    x = 4,047.90

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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.