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Finding the Fourth Proportional to 6,563.40, 9,845.02 and 1,633.08

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Solution

The fourth proportional to 6,563.40, 9,845.02 and 1,633.08 is: 2,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.40 : 9,845.02 = 1,633.08 : x
  2. Step 2: Convert to fraction form
    6,563.40/9,845.02 = 1,633.08/x
  3. Step 3: Cross multiply
    6,563.40x = 9,845.02 × 1,633.08
  4. Step 4: Simplify right side
    6,563.40x = 16,077,705.26
  5. Step 5: Solve for x
    x = 16,077,705.26/6,563.40
  6. Step 6: Final answer
    x = 2,449.60

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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.