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Finding the Fourth Proportional to 11,563.97, 17,350.20 and 5,643.27

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Solution

The fourth proportional to 11,563.97, 17,350.20 and 5,643.27 is: 8,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.97 : 17,350.20 = 5,643.27 : x
  2. Step 2: Convert to fraction form
    11,563.97/17,350.20 = 5,643.27/x
  3. Step 3: Cross multiply
    11,563.97x = 17,350.20 × 5,643.27
  4. Step 4: Simplify right side
    11,563.97x = 97,911,863.15
  5. Step 5: Solve for x
    x = 97,911,863.15/11,563.97
  6. Step 6: Final answer
    x = 8,466.98

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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.