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Finding the Fourth Proportional to 11,863.04, 16,370.56 and 6,828.04

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Solution

The fourth proportional to 11,863.04, 16,370.56 and 6,828.04 is: 9,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.04 : 16,370.56 = 6,828.04 : x
  2. Step 2: Convert to fraction form
    11,863.04/16,370.56 = 6,828.04/x
  3. Step 3: Cross multiply
    11,863.04x = 16,370.56 × 6,828.04
  4. Step 4: Simplify right side
    11,863.04x = 111,778,838.50
  5. Step 5: Solve for x
    x = 111,778,838.50/11,863.04
  6. Step 6: Final answer
    x = 9,422.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.