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Finding the Fourth Proportional to 22,537.26, 33,784.02 and 8,493.48

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Solution

The fourth proportional to 22,537.26, 33,784.02 and 8,493.48 is: 12,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.26 : 33,784.02 = 8,493.48 : x
  2. Step 2: Convert to fraction form
    22,537.26/33,784.02 = 8,493.48/x
  3. Step 3: Cross multiply
    22,537.26x = 33,784.02 × 8,493.48
  4. Step 4: Simplify right side
    22,537.26x = 286,943,898.19
  5. Step 5: Solve for x
    x = 286,943,898.19/22,537.26
  6. Step 6: Final answer
    x = 12,731.98

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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.