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Finding the Fourth Proportional to 27,854.30, 41,778.47 and 7,863.30

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Solution

The fourth proportional to 27,854.30, 41,778.47 and 7,863.30 is: 11,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.30 : 41,778.47 = 7,863.30 : x
  2. Step 2: Convert to fraction form
    27,854.30/41,778.47 = 7,863.30/x
  3. Step 3: Cross multiply
    27,854.30x = 41,778.47 × 7,863.30
  4. Step 4: Simplify right side
    27,854.30x = 328,516,434.26
  5. Step 5: Solve for x
    x = 328,516,434.26/27,854.30
  6. Step 6: Final answer
    x = 11,794.10

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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.