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Finding the Fourth Proportional to 9,194.40, 13,799.70 and 7,347.60

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Solution

The fourth proportional to 9,194.40, 13,799.70 and 7,347.60 is: 11,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.40 : 13,799.70 = 7,347.60 : x
  2. Step 2: Convert to fraction form
    9,194.40/13,799.70 = 7,347.60/x
  3. Step 3: Cross multiply
    9,194.40x = 13,799.70 × 7,347.60
  4. Step 4: Simplify right side
    9,194.40x = 101,394,675.72
  5. Step 5: Solve for x
    x = 101,394,675.72/9,194.40
  6. Step 6: Final answer
    x = 11,027.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.