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Finding the Fourth Proportional to 11,644.96, 17,443.12 and 7,737.44

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Solution

The fourth proportional to 11,644.96, 17,443.12 and 7,737.44 is: 11,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.96 : 17,443.12 = 7,737.44 : x
  2. Step 2: Convert to fraction form
    11,644.96/17,443.12 = 7,737.44/x
  3. Step 3: Cross multiply
    11,644.96x = 17,443.12 × 7,737.44
  4. Step 4: Simplify right side
    11,644.96x = 134,965,094.41
  5. Step 5: Solve for x
    x = 134,965,094.41/11,644.96
  6. Step 6: Final answer
    x = 11,590.00

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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.