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Finding the Fourth Proportional to 12,542.44, 17,308.50 and 6,877.44

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Solution

The fourth proportional to 12,542.44, 17,308.50 and 6,877.44 is: 9,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.44 : 17,308.50 = 6,877.44 : x
  2. Step 2: Convert to fraction form
    12,542.44/17,308.50 = 6,877.44/x
  3. Step 3: Cross multiply
    12,542.44x = 17,308.50 × 6,877.44
  4. Step 4: Simplify right side
    12,542.44x = 119,038,170.24
  5. Step 5: Solve for x
    x = 119,038,170.24/12,542.44
  6. Step 6: Final answer
    x = 9,490.83

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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.