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Finding the Fourth Proportional to 9,362.98, 14,003.43 and 8,149.19

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Solution

The fourth proportional to 9,362.98, 14,003.43 and 8,149.19 is: 12,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.98 : 14,003.43 = 8,149.19 : x
  2. Step 2: Convert to fraction form
    9,362.98/14,003.43 = 8,149.19/x
  3. Step 3: Cross multiply
    9,362.98x = 14,003.43 × 8,149.19
  4. Step 4: Simplify right side
    9,362.98x = 114,116,611.72
  5. Step 5: Solve for x
    x = 114,116,611.72/9,362.98
  6. Step 6: Final answer
    x = 12,188.07

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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.