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Finding the Fourth Proportional to 7,412.54, 11,107.73 and 6,865.79

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Solution

The fourth proportional to 7,412.54, 11,107.73 and 6,865.79 is: 10,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.54 : 11,107.73 = 6,865.79 : x
  2. Step 2: Convert to fraction form
    7,412.54/11,107.73 = 6,865.79/x
  3. Step 3: Cross multiply
    7,412.54x = 11,107.73 × 6,865.79
  4. Step 4: Simplify right side
    7,412.54x = 76,263,303.18
  5. Step 5: Solve for x
    x = 76,263,303.18/7,412.54
  6. Step 6: Final answer
    x = 10,288.42

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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.