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Finding the Fourth Proportional to 9,687.84, 14,540.12 and 5,993.36

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Solution

The fourth proportional to 9,687.84, 14,540.12 and 5,993.36 is: 8,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.84 : 14,540.12 = 5,993.36 : x
  2. Step 2: Convert to fraction form
    9,687.84/14,540.12 = 5,993.36/x
  3. Step 3: Cross multiply
    9,687.84x = 14,540.12 × 5,993.36
  4. Step 4: Simplify right side
    9,687.84x = 87,144,173.60
  5. Step 5: Solve for x
    x = 87,144,173.60/9,687.84
  6. Step 6: Final answer
    x = 8,995.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.