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Finding the Fourth Proportional to 6,404.86, 9,605.67 and 2,893.51

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Solution

The fourth proportional to 6,404.86, 9,605.67 and 2,893.51 is: 4,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.86 : 9,605.67 = 2,893.51 : x
  2. Step 2: Convert to fraction form
    6,404.86/9,605.67 = 2,893.51/x
  3. Step 3: Cross multiply
    6,404.86x = 9,605.67 × 2,893.51
  4. Step 4: Simplify right side
    6,404.86x = 27,794,102.20
  5. Step 5: Solve for x
    x = 27,794,102.20/6,404.86
  6. Step 6: Final answer
    x = 4,339.53

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1.5x scale

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.