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Finding the Fourth Proportional to 12,616.57, 17,410.86 and 7,027.57

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Solution

The fourth proportional to 12,616.57, 17,410.86 and 7,027.57 is: 9,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.57 : 17,410.86 = 7,027.57 : x
  2. Step 2: Convert to fraction form
    12,616.57/17,410.86 = 7,027.57/x
  3. Step 3: Cross multiply
    12,616.57x = 17,410.86 × 7,027.57
  4. Step 4: Simplify right side
    12,616.57x = 122,356,037.41
  5. Step 5: Solve for x
    x = 122,356,037.41/12,616.57
  6. Step 6: Final answer
    x = 9,698.04

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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.