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Finding the Fourth Proportional to 12,702.26, 17,524.43 and 8,228.48

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Solution

The fourth proportional to 12,702.26, 17,524.43 and 8,228.48 is: 11,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.26 : 17,524.43 = 8,228.48 : x
  2. Step 2: Convert to fraction form
    12,702.26/17,524.43 = 8,228.48/x
  3. Step 3: Cross multiply
    12,702.26x = 17,524.43 × 8,228.48
  4. Step 4: Simplify right side
    12,702.26x = 144,199,293.00
  5. Step 5: Solve for x
    x = 144,199,293.00/12,702.26
  6. Step 6: Final answer
    x = 11,352.25

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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.