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Finding the Fourth Proportional to 6,520.80, 9,847.56 and 6,520.80

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Solution

The fourth proportional to 6,520.80, 9,847.56 and 6,520.80 is: 9,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.80 : 9,847.56 = 6,520.80 : x
  2. Step 2: Convert to fraction form
    6,520.80/9,847.56 = 6,520.80/x
  3. Step 3: Cross multiply
    6,520.80x = 9,847.56 × 6,520.80
  4. Step 4: Simplify right side
    6,520.80x = 64,213,969.25
  5. Step 5: Solve for x
    x = 64,213,969.25/6,520.80
  6. Step 6: Final answer
    x = 9,847.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.