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Finding the Fourth Proportional to 13,793, 19,037.58 and 8,207.24

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Solution

The fourth proportional to 13,793, 19,037.58 and 8,207.24 is: 11,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793 : 19,037.58 = 8,207.24 : x
  2. Step 2: Convert to fraction form
    13,793/19,037.58 = 8,207.24/x
  3. Step 3: Cross multiply
    13,793x = 19,037.58 × 8,207.24
  4. Step 4: Simplify right side
    13,793x = 156,245,988.08
  5. Step 5: Solve for x
    x = 156,245,988.08/13,793
  6. Step 6: Final answer
    x = 11,327.92

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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.