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Finding the Fourth Proportional to 6,563.20, 9,832.92 and 5,529.64

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Solution

The fourth proportional to 6,563.20, 9,832.92 and 5,529.64 is: 8,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.20 : 9,832.92 = 5,529.64 : x
  2. Step 2: Convert to fraction form
    6,563.20/9,832.92 = 5,529.64/x
  3. Step 3: Cross multiply
    6,563.20x = 9,832.92 × 5,529.64
  4. Step 4: Simplify right side
    6,563.20x = 54,372,507.75
  5. Step 5: Solve for x
    x = 54,372,507.75/6,563.20
  6. Step 6: Final answer
    x = 8,284.45

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1.5x scale

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.