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Finding the Fourth Proportional to 9,322.74, 14,003.55 and 5,434.74

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Solution

The fourth proportional to 9,322.74, 14,003.55 and 5,434.74 is: 8,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.74 : 14,003.55 = 5,434.74 : x
  2. Step 2: Convert to fraction form
    9,322.74/14,003.55 = 5,434.74/x
  3. Step 3: Cross multiply
    9,322.74x = 14,003.55 × 5,434.74
  4. Step 4: Simplify right side
    9,322.74x = 76,105,653.33
  5. Step 5: Solve for x
    x = 76,105,653.33/9,322.74
  6. Step 6: Final answer
    x = 8,163.44

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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.