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Finding the Fourth Proportional to 6,497.71, 9,748 and 3,033.07

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Solution

The fourth proportional to 6,497.71, 9,748 and 3,033.07 is: 4,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.71 : 9,748 = 3,033.07 : x
  2. Step 2: Convert to fraction form
    6,497.71/9,748 = 3,033.07/x
  3. Step 3: Cross multiply
    6,497.71x = 9,748 × 3,033.07
  4. Step 4: Simplify right side
    6,497.71x = 29,566,366.36
  5. Step 5: Solve for x
    x = 29,566,366.36/6,497.71
  6. Step 6: Final answer
    x = 4,550.27

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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.