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Finding the Fourth Proportional to 12,533.70, 18,793.22 and 4,743.12

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Solution

The fourth proportional to 12,533.70, 18,793.22 and 4,743.12 is: 7,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.70 : 18,793.22 = 4,743.12 : x
  2. Step 2: Convert to fraction form
    12,533.70/18,793.22 = 4,743.12/x
  3. Step 3: Cross multiply
    12,533.70x = 18,793.22 × 4,743.12
  4. Step 4: Simplify right side
    12,533.70x = 89,138,497.65
  5. Step 5: Solve for x
    x = 89,138,497.65/12,533.70
  6. Step 6: Final answer
    x = 7,111.91

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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.