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Finding the Fourth Proportional to 13,794.12, 19,033.92 and 7,826.04

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Solution

The fourth proportional to 13,794.12, 19,033.92 and 7,826.04 is: 10,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.12 : 19,033.92 = 7,826.04 : x
  2. Step 2: Convert to fraction form
    13,794.12/19,033.92 = 7,826.04/x
  3. Step 3: Cross multiply
    13,794.12x = 19,033.92 × 7,826.04
  4. Step 4: Simplify right side
    13,794.12x = 148,960,219.28
  5. Step 5: Solve for x
    x = 148,960,219.28/13,794.12
  6. Step 6: Final answer
    x = 10,798.82

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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.