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Finding the Fourth Proportional to 6,975.52, 10,463.04 and 3,275.68

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Solution

The fourth proportional to 6,975.52, 10,463.04 and 3,275.68 is: 4,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.52 : 10,463.04 = 3,275.68 : x
  2. Step 2: Convert to fraction form
    6,975.52/10,463.04 = 3,275.68/x
  3. Step 3: Cross multiply
    6,975.52x = 10,463.04 × 3,275.68
  4. Step 4: Simplify right side
    6,975.52x = 34,273,570.87
  5. Step 5: Solve for x
    x = 34,273,570.87/6,975.52
  6. Step 6: Final answer
    x = 4,913.41

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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.