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Finding the Fourth Proportional to 17,702.25, 26,553.42 and 7,841.61

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Solution

The fourth proportional to 17,702.25, 26,553.42 and 7,841.61 is: 11,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.25 : 26,553.42 = 7,841.61 : x
  2. Step 2: Convert to fraction form
    17,702.25/26,553.42 = 7,841.61/x
  3. Step 3: Cross multiply
    17,702.25x = 26,553.42 × 7,841.61
  4. Step 4: Simplify right side
    17,702.25x = 208,221,563.81
  5. Step 5: Solve for x
    x = 208,221,563.81/17,702.25
  6. Step 6: Final answer
    x = 11,762.44

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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.