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Finding the Fourth Proportional to 9,973.16, 13,757.82 and 5,992.80

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Solution

The fourth proportional to 9,973.16, 13,757.82 and 5,992.80 is: 8,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.16 : 13,757.82 = 5,992.80 : x
  2. Step 2: Convert to fraction form
    9,973.16/13,757.82 = 5,992.80/x
  3. Step 3: Cross multiply
    9,973.16x = 13,757.82 × 5,992.80
  4. Step 4: Simplify right side
    9,973.16x = 82,447,863.70
  5. Step 5: Solve for x
    x = 82,447,863.70/9,973.16
  6. Step 6: Final answer
    x = 8,266.97

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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.