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Finding the Fourth Proportional to 13,424.16, 20,142.84 and 6,033.84

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Solution

The fourth proportional to 13,424.16, 20,142.84 and 6,033.84 is: 9,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.16 : 20,142.84 = 6,033.84 : x
  2. Step 2: Convert to fraction form
    13,424.16/20,142.84 = 6,033.84/x
  3. Step 3: Cross multiply
    13,424.16x = 20,142.84 × 6,033.84
  4. Step 4: Simplify right side
    13,424.16x = 121,538,673.71
  5. Step 5: Solve for x
    x = 121,538,673.71/13,424.16
  6. Step 6: Final answer
    x = 9,053.73

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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.