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Finding the Fourth Proportional to 6,468.53, 9,698.47 and 2,024.69

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Solution

The fourth proportional to 6,468.53, 9,698.47 and 2,024.69 is: 3,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.53 : 9,698.47 = 2,024.69 : x
  2. Step 2: Convert to fraction form
    6,468.53/9,698.47 = 2,024.69/x
  3. Step 3: Cross multiply
    6,468.53x = 9,698.47 × 2,024.69
  4. Step 4: Simplify right side
    6,468.53x = 19,636,395.22
  5. Step 5: Solve for x
    x = 19,636,395.22/6,468.53
  6. Step 6: Final answer
    x = 3,035.68

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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.