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Finding the Fourth Proportional to 9,009.62, 13,502.14 and 5,716.81

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Solution

The fourth proportional to 9,009.62, 13,502.14 and 5,716.81 is: 8,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.62 : 13,502.14 = 5,716.81 : x
  2. Step 2: Convert to fraction form
    9,009.62/13,502.14 = 5,716.81/x
  3. Step 3: Cross multiply
    9,009.62x = 13,502.14 × 5,716.81
  4. Step 4: Simplify right side
    9,009.62x = 77,189,171.56
  5. Step 5: Solve for x
    x = 77,189,171.56/9,009.62
  6. Step 6: Final answer
    x = 8,567.42

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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.