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Finding the Fourth Proportional to 9,710.11, 13,399.52 and 5,939.60

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Solution

The fourth proportional to 9,710.11, 13,399.52 and 5,939.60 is: 8,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.11 : 13,399.52 = 5,939.60 : x
  2. Step 2: Convert to fraction form
    9,710.11/13,399.52 = 5,939.60/x
  3. Step 3: Cross multiply
    9,710.11x = 13,399.52 × 5,939.60
  4. Step 4: Simplify right side
    9,710.11x = 79,587,759.29
  5. Step 5: Solve for x
    x = 79,587,759.29/9,710.11
  6. Step 6: Final answer
    x = 8,196.39

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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.