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Finding the Fourth Proportional to 9,893.23, 14,836.20 and 8,344.15

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Solution

The fourth proportional to 9,893.23, 14,836.20 and 8,344.15 is: 12,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.23 : 14,836.20 = 8,344.15 : x
  2. Step 2: Convert to fraction form
    9,893.23/14,836.20 = 8,344.15/x
  3. Step 3: Cross multiply
    9,893.23x = 14,836.20 × 8,344.15
  4. Step 4: Simplify right side
    9,893.23x = 123,795,478.23
  5. Step 5: Solve for x
    x = 123,795,478.23/9,893.23
  6. Step 6: Final answer
    x = 12,513.15

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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.