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Finding the Fourth Proportional to 6,613, 9,920.04 and 1,996

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Solution

The fourth proportional to 6,613, 9,920.04 and 1,996 is: 2,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613 : 9,920.04 = 1,996 : x
  2. Step 2: Convert to fraction form
    6,613/9,920.04 = 1,996/x
  3. Step 3: Cross multiply
    6,613x = 9,920.04 × 1,996
  4. Step 4: Simplify right side
    6,613x = 19,800,399.84
  5. Step 5: Solve for x
    x = 19,800,399.84/6,613
  6. Step 6: Final answer
    x = 2,994.16

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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.