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Finding the Fourth Proportional to 11,737, 16,192.11 and 7,252.98

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Solution

The fourth proportional to 11,737, 16,192.11 and 7,252.98 is: 10,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737 : 16,192.11 = 7,252.98 : x
  2. Step 2: Convert to fraction form
    11,737/16,192.11 = 7,252.98/x
  3. Step 3: Cross multiply
    11,737x = 16,192.11 × 7,252.98
  4. Step 4: Simplify right side
    11,737x = 117,440,969.03
  5. Step 5: Solve for x
    x = 117,440,969.03/11,737
  6. Step 6: Final answer
    x = 10,006.05

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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.