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Finding the Fourth Proportional to 9,267.30, 13,894.81 and 5,109.30

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Solution

The fourth proportional to 9,267.30, 13,894.81 and 5,109.30 is: 7,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.30 : 13,894.81 = 5,109.30 : x
  2. Step 2: Convert to fraction form
    9,267.30/13,894.81 = 5,109.30/x
  3. Step 3: Cross multiply
    9,267.30x = 13,894.81 × 5,109.30
  4. Step 4: Simplify right side
    9,267.30x = 70,992,739.96
  5. Step 5: Solve for x
    x = 70,992,739.96/9,267.30
  6. Step 6: Final answer
    x = 7,660.56

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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.