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Finding the Fourth Proportional to 6,563.99, 9,842.74 and 2,179.98

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Solution

The fourth proportional to 6,563.99, 9,842.74 and 2,179.98 is: 3,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.99 : 9,842.74 = 2,179.98 : x
  2. Step 2: Convert to fraction form
    6,563.99/9,842.74 = 2,179.98/x
  3. Step 3: Cross multiply
    6,563.99x = 9,842.74 × 2,179.98
  4. Step 4: Simplify right side
    6,563.99x = 21,456,970.90
  5. Step 5: Solve for x
    x = 21,456,970.90/6,563.99
  6. Step 6: Final answer
    x = 3,268.89

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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.