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Finding the Fourth Proportional to 9,757.39, 13,462.84 and 5,928.95

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Solution

The fourth proportional to 9,757.39, 13,462.84 and 5,928.95 is: 8,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.39 : 13,462.84 = 5,928.95 : x
  2. Step 2: Convert to fraction form
    9,757.39/13,462.84 = 5,928.95/x
  3. Step 3: Cross multiply
    9,757.39x = 13,462.84 × 5,928.95
  4. Step 4: Simplify right side
    9,757.39x = 79,820,505.22
  5. Step 5: Solve for x
    x = 79,820,505.22/9,757.39
  6. Step 6: Final answer
    x = 8,180.52

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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.