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Finding the Fourth Proportional to 6,507.50, 9,762.48 and 2,612.21

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Solution

The fourth proportional to 6,507.50, 9,762.48 and 2,612.21 is: 3,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.50 : 9,762.48 = 2,612.21 : x
  2. Step 2: Convert to fraction form
    6,507.50/9,762.48 = 2,612.21/x
  3. Step 3: Cross multiply
    6,507.50x = 9,762.48 × 2,612.21
  4. Step 4: Simplify right side
    6,507.50x = 25,501,647.88
  5. Step 5: Solve for x
    x = 25,501,647.88/6,507.50
  6. Step 6: Final answer
    x = 3,918.81

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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.