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Finding the Fourth Proportional to 9,563.56, 13,200.36 and 6,731.56

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Solution

The fourth proportional to 9,563.56, 13,200.36 and 6,731.56 is: 9,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.56 : 13,200.36 = 6,731.56 : x
  2. Step 2: Convert to fraction form
    9,563.56/13,200.36 = 6,731.56/x
  3. Step 3: Cross multiply
    9,563.56x = 13,200.36 × 6,731.56
  4. Step 4: Simplify right side
    9,563.56x = 88,859,015.36
  5. Step 5: Solve for x
    x = 88,859,015.36/9,563.56
  6. Step 6: Final answer
    x = 9,291.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.