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Finding the Fourth Proportional to 6,880.60, 10,320.90 and 6,530

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Solution

The fourth proportional to 6,880.60, 10,320.90 and 6,530 is: 9,795

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.60 : 10,320.90 = 6,530 : x
  2. Step 2: Convert to fraction form
    6,880.60/10,320.90 = 6,530/x
  3. Step 3: Cross multiply
    6,880.60x = 10,320.90 × 6,530
  4. Step 4: Simplify right side
    6,880.60x = 67,395,477
  5. Step 5: Solve for x
    x = 67,395,477/6,880.60
  6. Step 6: Final answer
    x = 9,795

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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.