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Finding the Fourth Proportional to 8,097.16, 11,174.16 and 4,559.68

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Solution

The fourth proportional to 8,097.16, 11,174.16 and 4,559.68 is: 6,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.16 : 11,174.16 = 4,559.68 : x
  2. Step 2: Convert to fraction form
    8,097.16/11,174.16 = 4,559.68/x
  3. Step 3: Cross multiply
    8,097.16x = 11,174.16 × 4,559.68
  4. Step 4: Simplify right side
    8,097.16x = 50,950,593.87
  5. Step 5: Solve for x
    x = 50,950,593.87/8,097.16
  6. Step 6: Final answer
    x = 6,292.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.