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Finding the Fourth Proportional to 9,919.78, 13,663.02 and 7,393.80

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Solution

The fourth proportional to 9,919.78, 13,663.02 and 7,393.80 is: 10,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.78 : 13,663.02 = 7,393.80 : x
  2. Step 2: Convert to fraction form
    9,919.78/13,663.02 = 7,393.80/x
  3. Step 3: Cross multiply
    9,919.78x = 13,663.02 × 7,393.80
  4. Step 4: Simplify right side
    9,919.78x = 101,021,637.28
  5. Step 5: Solve for x
    x = 101,021,637.28/9,919.78
  6. Step 6: Final answer
    x = 10,183.86

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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.