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Finding the Fourth Proportional to 6,468.08, 9,700.08 and 2,084.60

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Solution

The fourth proportional to 6,468.08, 9,700.08 and 2,084.60 is: 3,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.08 : 9,700.08 = 2,084.60 : x
  2. Step 2: Convert to fraction form
    6,468.08/9,700.08 = 2,084.60/x
  3. Step 3: Cross multiply
    6,468.08x = 9,700.08 × 2,084.60
  4. Step 4: Simplify right side
    6,468.08x = 20,220,786.77
  5. Step 5: Solve for x
    x = 20,220,786.77/6,468.08
  6. Step 6: Final answer
    x = 3,126.24

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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.