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Finding the Fourth Proportional to 9,712.87, 13,404.80 and 5,938.25

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Solution

The fourth proportional to 9,712.87, 13,404.80 and 5,938.25 is: 8,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.87 : 13,404.80 = 5,938.25 : x
  2. Step 2: Convert to fraction form
    9,712.87/13,404.80 = 5,938.25/x
  3. Step 3: Cross multiply
    9,712.87x = 13,404.80 × 5,938.25
  4. Step 4: Simplify right side
    9,712.87x = 79,601,053.60
  5. Step 5: Solve for x
    x = 79,601,053.60/9,712.87
  6. Step 6: Final answer
    x = 8,195.42

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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.