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Finding the Fourth Proportional to 9,524.14, 13,168.40 and 8,341.82

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Solution

The fourth proportional to 9,524.14, 13,168.40 and 8,341.82 is: 11,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.14 : 13,168.40 = 8,341.82 : x
  2. Step 2: Convert to fraction form
    9,524.14/13,168.40 = 8,341.82/x
  3. Step 3: Cross multiply
    9,524.14x = 13,168.40 × 8,341.82
  4. Step 4: Simplify right side
    9,524.14x = 109,848,422.49
  5. Step 5: Solve for x
    x = 109,848,422.49/9,524.14
  6. Step 6: Final answer
    x = 11,533.68

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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.