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Finding the Fourth Proportional to 9,524.88, 13,144.34 and 5,333.22

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Solution

The fourth proportional to 9,524.88, 13,144.34 and 5,333.22 is: 7,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.88 : 13,144.34 = 5,333.22 : x
  2. Step 2: Convert to fraction form
    9,524.88/13,144.34 = 5,333.22/x
  3. Step 3: Cross multiply
    9,524.88x = 13,144.34 × 5,333.22
  4. Step 4: Simplify right side
    9,524.88x = 70,101,656.97
  5. Step 5: Solve for x
    x = 70,101,656.97/9,524.88
  6. Step 6: Final answer
    x = 7,359.85

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Double scale
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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.