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Finding the Fourth Proportional to 6,651.68, 9,968.88 and 6,548

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Solution

The fourth proportional to 6,651.68, 9,968.88 and 6,548 is: 9,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.68 : 9,968.88 = 6,548 : x
  2. Step 2: Convert to fraction form
    6,651.68/9,968.88 = 6,548/x
  3. Step 3: Cross multiply
    6,651.68x = 9,968.88 × 6,548
  4. Step 4: Simplify right side
    6,651.68x = 65,276,226.24
  5. Step 5: Solve for x
    x = 65,276,226.24/6,651.68
  6. Step 6: Final answer
    x = 9,813.49

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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.