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Finding the Fourth Proportional to 9,588.91, 13,249.85 and 7,469.91

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Solution

The fourth proportional to 9,588.91, 13,249.85 and 7,469.91 is: 10,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.91 : 13,249.85 = 7,469.91 : x
  2. Step 2: Convert to fraction form
    9,588.91/13,249.85 = 7,469.91/x
  3. Step 3: Cross multiply
    9,588.91x = 13,249.85 × 7,469.91
  4. Step 4: Simplify right side
    9,588.91x = 98,975,194.06
  5. Step 5: Solve for x
    x = 98,975,194.06/9,588.91
  6. Step 6: Final answer
    x = 10,321.84

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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.