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Finding the Fourth Proportional to 12,533.80, 18,801.26 and 6,982.94

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Solution

The fourth proportional to 12,533.80, 18,801.26 and 6,982.94 is: 10,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.80 : 18,801.26 = 6,982.94 : x
  2. Step 2: Convert to fraction form
    12,533.80/18,801.26 = 6,982.94/x
  3. Step 3: Cross multiply
    12,533.80x = 18,801.26 × 6,982.94
  4. Step 4: Simplify right side
    12,533.80x = 131,287,941.58
  5. Step 5: Solve for x
    x = 131,287,941.58/12,533.80
  6. Step 6: Final answer
    x = 10,474.71

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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.