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Finding the Fourth Proportional to 11,611.72, 16,024.20 and 6,306.42

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Solution

The fourth proportional to 11,611.72, 16,024.20 and 6,306.42 is: 8,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.72 : 16,024.20 = 6,306.42 : x
  2. Step 2: Convert to fraction form
    11,611.72/16,024.20 = 6,306.42/x
  3. Step 3: Cross multiply
    11,611.72x = 16,024.20 × 6,306.42
  4. Step 4: Simplify right side
    11,611.72x = 101,055,303.83
  5. Step 5: Solve for x
    x = 101,055,303.83/11,611.72
  6. Step 6: Final answer
    x = 8,702.87

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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.