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Finding the Fourth Proportional to 6,394, 9,590.96 and 1,777

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Solution

The fourth proportional to 6,394, 9,590.96 and 1,777 is: 2,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394 : 9,590.96 = 1,777 : x
  2. Step 2: Convert to fraction form
    6,394/9,590.96 = 1,777/x
  3. Step 3: Cross multiply
    6,394x = 9,590.96 × 1,777
  4. Step 4: Simplify right side
    6,394x = 17,043,135.92
  5. Step 5: Solve for x
    x = 17,043,135.92/6,394
  6. Step 6: Final answer
    x = 2,665.49

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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.