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Finding the Fourth Proportional to 27,702.80, 41,554.20 and 6,926.30

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Solution

The fourth proportional to 27,702.80, 41,554.20 and 6,926.30 is: 10,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.80 : 41,554.20 = 6,926.30 : x
  2. Step 2: Convert to fraction form
    27,702.80/41,554.20 = 6,926.30/x
  3. Step 3: Cross multiply
    27,702.80x = 41,554.20 × 6,926.30
  4. Step 4: Simplify right side
    27,702.80x = 287,816,777.54
  5. Step 5: Solve for x
    x = 287,816,777.54/27,702.80
  6. Step 6: Final answer
    x = 10,389.45

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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.