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Finding the Fourth Proportional to 11,572.80, 17,372.16 and 7,684.80

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Solution

The fourth proportional to 11,572.80, 17,372.16 and 7,684.80 is: 11,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.80 : 17,372.16 = 7,684.80 : x
  2. Step 2: Convert to fraction form
    11,572.80/17,372.16 = 7,684.80/x
  3. Step 3: Cross multiply
    11,572.80x = 17,372.16 × 7,684.80
  4. Step 4: Simplify right side
    11,572.80x = 133,501,575.17
  5. Step 5: Solve for x
    x = 133,501,575.17/11,572.80
  6. Step 6: Final answer
    x = 11,535.81

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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.