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Finding the Fourth Proportional to 6,404.75, 9,608.14 and 2,707.01

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Solution

The fourth proportional to 6,404.75, 9,608.14 and 2,707.01 is: 4,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.75 : 9,608.14 = 2,707.01 : x
  2. Step 2: Convert to fraction form
    6,404.75/9,608.14 = 2,707.01/x
  3. Step 3: Cross multiply
    6,404.75x = 9,608.14 × 2,707.01
  4. Step 4: Simplify right side
    6,404.75x = 26,009,357.07
  5. Step 5: Solve for x
    x = 26,009,357.07/6,404.75
  6. Step 6: Final answer
    x = 4,060.95

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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.