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Finding the Fourth Proportional to 7,064.48, 9,747.90 and 4,231.19

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Solution

The fourth proportional to 7,064.48, 9,747.90 and 4,231.19 is: 5,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.48 : 9,747.90 = 4,231.19 : x
  2. Step 2: Convert to fraction form
    7,064.48/9,747.90 = 4,231.19/x
  3. Step 3: Cross multiply
    7,064.48x = 9,747.90 × 4,231.19
  4. Step 4: Simplify right side
    7,064.48x = 41,245,217.00
  5. Step 5: Solve for x
    x = 41,245,217.00/7,064.48
  6. Step 6: Final answer
    x = 5,838.39

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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.