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Finding the Fourth Proportional to 7,193.25, 9,927.09 and 4,049.64

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Solution

The fourth proportional to 7,193.25, 9,927.09 and 4,049.64 is: 5,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.25 : 9,927.09 = 4,049.64 : x
  2. Step 2: Convert to fraction form
    7,193.25/9,927.09 = 4,049.64/x
  3. Step 3: Cross multiply
    7,193.25x = 9,927.09 × 4,049.64
  4. Step 4: Simplify right side
    7,193.25x = 40,201,140.75
  5. Step 5: Solve for x
    x = 40,201,140.75/7,193.25
  6. Step 6: Final answer
    x = 5,588.73

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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.