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Finding the Fourth Proportional to 9,899.27, 13,661.21 and 5,650.24

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Solution

The fourth proportional to 9,899.27, 13,661.21 and 5,650.24 is: 7,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.27 : 13,661.21 = 5,650.24 : x
  2. Step 2: Convert to fraction form
    9,899.27/13,661.21 = 5,650.24/x
  3. Step 3: Cross multiply
    9,899.27x = 13,661.21 × 5,650.24
  4. Step 4: Simplify right side
    9,899.27x = 77,189,115.19
  5. Step 5: Solve for x
    x = 77,189,115.19/9,899.27
  6. Step 6: Final answer
    x = 7,797.46

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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.