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Finding the Fourth Proportional to 13,000.92, 17,943.27 and 8,537.61

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Solution

The fourth proportional to 13,000.92, 17,943.27 and 8,537.61 is: 11,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.92 : 17,943.27 = 8,537.61 : x
  2. Step 2: Convert to fraction form
    13,000.92/17,943.27 = 8,537.61/x
  3. Step 3: Cross multiply
    13,000.92x = 17,943.27 × 8,537.61
  4. Step 4: Simplify right side
    13,000.92x = 153,192,641.38
  5. Step 5: Solve for x
    x = 153,192,641.38/13,000.92
  6. Step 6: Final answer
    x = 11,783.22

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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.