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Finding the Fourth Proportional to 6,613, 9,924.06 and 2,509

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Solution

The fourth proportional to 6,613, 9,924.06 and 2,509 is: 3,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613 : 9,924.06 = 2,509 : x
  2. Step 2: Convert to fraction form
    6,613/9,924.06 = 2,509/x
  3. Step 3: Cross multiply
    6,613x = 9,924.06 × 2,509
  4. Step 4: Simplify right side
    6,613x = 24,899,466.54
  5. Step 5: Solve for x
    x = 24,899,466.54/6,613
  6. Step 6: Final answer
    x = 3,765.23

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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.