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Finding the Fourth Proportional to 6,468.68, 9,707 and 2,573.40

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Solution

The fourth proportional to 6,468.68, 9,707 and 2,573.40 is: 3,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.68 : 9,707 = 2,573.40 : x
  2. Step 2: Convert to fraction form
    6,468.68/9,707 = 2,573.40/x
  3. Step 3: Cross multiply
    6,468.68x = 9,707 × 2,573.40
  4. Step 4: Simplify right side
    6,468.68x = 24,979,993.80
  5. Step 5: Solve for x
    x = 24,979,993.80/6,468.68
  6. Step 6: Final answer
    x = 3,861.68

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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.