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Finding the Fourth Proportional to 9,197.88, 12,690.84 and 5,839.50

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Solution

The fourth proportional to 9,197.88, 12,690.84 and 5,839.50 is: 8,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.88 : 12,690.84 = 5,839.50 : x
  2. Step 2: Convert to fraction form
    9,197.88/12,690.84 = 5,839.50/x
  3. Step 3: Cross multiply
    9,197.88x = 12,690.84 × 5,839.50
  4. Step 4: Simplify right side
    9,197.88x = 74,108,160.18
  5. Step 5: Solve for x
    x = 74,108,160.18/9,197.88
  6. Step 6: Final answer
    x = 8,057.09

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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.