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Finding the Fourth Proportional to 10,099.44, 13,944 and 9,033.88

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Solution

The fourth proportional to 10,099.44, 13,944 and 9,033.88 is: 12,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.44 : 13,944 = 9,033.88 : x
  2. Step 2: Convert to fraction form
    10,099.44/13,944 = 9,033.88/x
  3. Step 3: Cross multiply
    10,099.44x = 13,944 × 9,033.88
  4. Step 4: Simplify right side
    10,099.44x = 125,968,422.72
  5. Step 5: Solve for x
    x = 125,968,422.72/10,099.44
  6. Step 6: Final answer
    x = 12,472.81

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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.