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Finding the Fourth Proportional to 6,522.68, 9,784.12 and 2,140.48

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Solution

The fourth proportional to 6,522.68, 9,784.12 and 2,140.48 is: 3,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.68 : 9,784.12 = 2,140.48 : x
  2. Step 2: Convert to fraction form
    6,522.68/9,784.12 = 2,140.48/x
  3. Step 3: Cross multiply
    6,522.68x = 9,784.12 × 2,140.48
  4. Step 4: Simplify right side
    6,522.68x = 20,942,713.18
  5. Step 5: Solve for x
    x = 20,942,713.18/6,522.68
  6. Step 6: Final answer
    x = 3,210.75

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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.