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Finding the Fourth Proportional to 27,853.30, 41,776.97 and 7,862.30

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Solution

The fourth proportional to 27,853.30, 41,776.97 and 7,862.30 is: 11,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.30 : 41,776.97 = 7,862.30 : x
  2. Step 2: Convert to fraction form
    27,853.30/41,776.97 = 7,862.30/x
  3. Step 3: Cross multiply
    27,853.30x = 41,776.97 × 7,862.30
  4. Step 4: Simplify right side
    27,853.30x = 328,462,862.35
  5. Step 5: Solve for x
    x = 328,462,862.35/27,853.30
  6. Step 6: Final answer
    x = 11,792.60

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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.