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Finding the Fourth Proportional to 13,037.74, 17,992 and 7,069.39

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Solution

The fourth proportional to 13,037.74, 17,992 and 7,069.39 is: 9,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.74 : 17,992 = 7,069.39 : x
  2. Step 2: Convert to fraction form
    13,037.74/17,992 = 7,069.39/x
  3. Step 3: Cross multiply
    13,037.74x = 17,992 × 7,069.39
  4. Step 4: Simplify right side
    13,037.74x = 127,192,464.88
  5. Step 5: Solve for x
    x = 127,192,464.88/13,037.74
  6. Step 6: Final answer
    x = 9,755.71

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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.