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Finding the Fourth Proportional to 10,469.03, 14,447.54 and 5,753.44

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Solution

The fourth proportional to 10,469.03, 14,447.54 and 5,753.44 is: 7,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.03 : 14,447.54 = 5,753.44 : x
  2. Step 2: Convert to fraction form
    10,469.03/14,447.54 = 5,753.44/x
  3. Step 3: Cross multiply
    10,469.03x = 14,447.54 × 5,753.44
  4. Step 4: Simplify right side
    10,469.03x = 83,122,953.53
  5. Step 5: Solve for x
    x = 83,122,953.53/10,469.03
  6. Step 6: Final answer
    x = 7,939.89

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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.