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Finding the Fourth Proportional to 13,952, 19,255.04 and 8,983.04

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Solution

The fourth proportional to 13,952, 19,255.04 and 8,983.04 is: 12,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952 : 19,255.04 = 8,983.04 : x
  2. Step 2: Convert to fraction form
    13,952/19,255.04 = 8,983.04/x
  3. Step 3: Cross multiply
    13,952x = 19,255.04 × 8,983.04
  4. Step 4: Simplify right side
    13,952x = 172,968,794.52
  5. Step 5: Solve for x
    x = 172,968,794.52/13,952
  6. Step 6: Final answer
    x = 12,397.42

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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.