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Finding the Fourth Proportional to 7,149.03, 9,865.37 and 4,164.86

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Solution

The fourth proportional to 7,149.03, 9,865.37 and 4,164.86 is: 5,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.03 : 9,865.37 = 4,164.86 : x
  2. Step 2: Convert to fraction form
    7,149.03/9,865.37 = 4,164.86/x
  3. Step 3: Cross multiply
    7,149.03x = 9,865.37 × 4,164.86
  4. Step 4: Simplify right side
    7,149.03x = 41,087,814.75
  5. Step 5: Solve for x
    x = 41,087,814.75/7,149.03
  6. Step 6: Final answer
    x = 5,747.33

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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.