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Finding the Fourth Proportional to 7,195.41, 9,909.81 and 6,200.33

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Solution

The fourth proportional to 7,195.41, 9,909.81 and 6,200.33 is: 8,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.41 : 9,909.81 = 6,200.33 : x
  2. Step 2: Convert to fraction form
    7,195.41/9,909.81 = 6,200.33/x
  3. Step 3: Cross multiply
    7,195.41x = 9,909.81 × 6,200.33
  4. Step 4: Simplify right side
    7,195.41x = 61,444,042.69
  5. Step 5: Solve for x
    x = 61,444,042.69/7,195.41
  6. Step 6: Final answer
    x = 8,539.34

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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.