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Finding the Fourth Proportional to 27,800.16, 41,702.09 and 9,786.22

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Solution

The fourth proportional to 27,800.16, 41,702.09 and 9,786.22 is: 14,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.16 : 41,702.09 = 9,786.22 : x
  2. Step 2: Convert to fraction form
    27,800.16/41,702.09 = 9,786.22/x
  3. Step 3: Cross multiply
    27,800.16x = 41,702.09 × 9,786.22
  4. Step 4: Simplify right side
    27,800.16x = 408,105,827.20
  5. Step 5: Solve for x
    x = 408,105,827.20/27,800.16
  6. Step 6: Final answer
    x = 14,679.98

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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.