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Finding the Fourth Proportional to 6,501.87, 9,754.63 and 2,609.01

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Solution

The fourth proportional to 6,501.87, 9,754.63 and 2,609.01 is: 3,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.87 : 9,754.63 = 2,609.01 : x
  2. Step 2: Convert to fraction form
    6,501.87/9,754.63 = 2,609.01/x
  3. Step 3: Cross multiply
    6,501.87x = 9,754.63 × 2,609.01
  4. Step 4: Simplify right side
    6,501.87x = 25,449,920.69
  5. Step 5: Solve for x
    x = 25,449,920.69/6,501.87
  6. Step 6: Final answer
    x = 3,914.25

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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.