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Finding the Fourth Proportional to 9,757.43, 13,460.29 and 5,928.04

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Solution

The fourth proportional to 9,757.43, 13,460.29 and 5,928.04 is: 8,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.43 : 13,460.29 = 5,928.04 : x
  2. Step 2: Convert to fraction form
    9,757.43/13,460.29 = 5,928.04/x
  3. Step 3: Cross multiply
    9,757.43x = 13,460.29 × 5,928.04
  4. Step 4: Simplify right side
    9,757.43x = 79,793,172.88
  5. Step 5: Solve for x
    x = 79,793,172.88/9,757.43
  6. Step 6: Final answer
    x = 8,177.68

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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.