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Finding the Fourth Proportional to 9,224.56, 13,765.44 and 8,240.08

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Solution

The fourth proportional to 9,224.56, 13,765.44 and 8,240.08 is: 12,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.56 : 13,765.44 = 8,240.08 : x
  2. Step 2: Convert to fraction form
    9,224.56/13,765.44 = 8,240.08/x
  3. Step 3: Cross multiply
    9,224.56x = 13,765.44 × 8,240.08
  4. Step 4: Simplify right side
    9,224.56x = 113,428,326.84
  5. Step 5: Solve for x
    x = 113,428,326.84/9,224.56
  6. Step 6: Final answer
    x = 12,296.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.