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Finding the Fourth Proportional to 7,092.33, 9,793.61 and 4,444.30

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Solution

The fourth proportional to 7,092.33, 9,793.61 and 4,444.30 is: 6,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.33 : 9,793.61 = 4,444.30 : x
  2. Step 2: Convert to fraction form
    7,092.33/9,793.61 = 4,444.30/x
  3. Step 3: Cross multiply
    7,092.33x = 9,793.61 × 4,444.30
  4. Step 4: Simplify right side
    7,092.33x = 43,525,740.92
  5. Step 5: Solve for x
    x = 43,525,740.92/7,092.33
  6. Step 6: Final answer
    x = 6,137.02

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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.