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Finding the Fourth Proportional to 6,698, 10,049.12 and 3,003.40

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Solution

The fourth proportional to 6,698, 10,049.12 and 3,003.40 is: 4,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698 : 10,049.12 = 3,003.40 : x
  2. Step 2: Convert to fraction form
    6,698/10,049.12 = 3,003.40/x
  3. Step 3: Cross multiply
    6,698x = 10,049.12 × 3,003.40
  4. Step 4: Simplify right side
    6,698x = 30,181,527.01
  5. Step 5: Solve for x
    x = 30,181,527.01/6,698
  6. Step 6: Final answer
    x = 4,506.05

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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.