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Finding the Fourth Proportional to 9,956.88, 13,735.71 and 5,977.26

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Solution

The fourth proportional to 9,956.88, 13,735.71 and 5,977.26 is: 8,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.88 : 13,735.71 = 5,977.26 : x
  2. Step 2: Convert to fraction form
    9,956.88/13,735.71 = 5,977.26/x
  3. Step 3: Cross multiply
    9,956.88x = 13,735.71 × 5,977.26
  4. Step 4: Simplify right side
    9,956.88x = 82,101,909.95
  5. Step 5: Solve for x
    x = 82,101,909.95/9,956.88
  6. Step 6: Final answer
    x = 8,245.75

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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.