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Finding the Fourth Proportional to 9,289.29, 13,933.41 and 6,793.03

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Solution

The fourth proportional to 9,289.29, 13,933.41 and 6,793.03 is: 10,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.29 : 13,933.41 = 6,793.03 : x
  2. Step 2: Convert to fraction form
    9,289.29/13,933.41 = 6,793.03/x
  3. Step 3: Cross multiply
    9,289.29x = 13,933.41 × 6,793.03
  4. Step 4: Simplify right side
    9,289.29x = 94,650,072.13
  5. Step 5: Solve for x
    x = 94,650,072.13/9,289.29
  6. Step 6: Final answer
    x = 10,189.16

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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.