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Finding the Fourth Proportional to 6,499.72, 9,752.46 and 3,421

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Solution

The fourth proportional to 6,499.72, 9,752.46 and 3,421 is: 5,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.72 : 9,752.46 = 3,421 : x
  2. Step 2: Convert to fraction form
    6,499.72/9,752.46 = 3,421/x
  3. Step 3: Cross multiply
    6,499.72x = 9,752.46 × 3,421
  4. Step 4: Simplify right side
    6,499.72x = 33,363,165.66
  5. Step 5: Solve for x
    x = 33,363,165.66/6,499.72
  6. Step 6: Final answer
    x = 5,133.02

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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.