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Finding the Fourth Proportional to 6,463.34, 9,695.02 and 2,021.03

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Solution

The fourth proportional to 6,463.34, 9,695.02 and 2,021.03 is: 3,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.34 : 9,695.02 = 2,021.03 : x
  2. Step 2: Convert to fraction form
    6,463.34/9,695.02 = 2,021.03/x
  3. Step 3: Cross multiply
    6,463.34x = 9,695.02 × 2,021.03
  4. Step 4: Simplify right side
    6,463.34x = 19,593,909.10
  5. Step 5: Solve for x
    x = 19,593,909.10/6,463.34
  6. Step 6: Final answer
    x = 3,031.55

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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.