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Finding the Fourth Proportional to 11,937.96, 16,474.80 and 6,633

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Solution

The fourth proportional to 11,937.96, 16,474.80 and 6,633 is: 9,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.96 : 16,474.80 = 6,633 : x
  2. Step 2: Convert to fraction form
    11,937.96/16,474.80 = 6,633/x
  3. Step 3: Cross multiply
    11,937.96x = 16,474.80 × 6,633
  4. Step 4: Simplify right side
    11,937.96x = 109,277,348.40
  5. Step 5: Solve for x
    x = 109,277,348.40/11,937.96
  6. Step 6: Final answer
    x = 9,153.77

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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.