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Finding the Fourth Proportional to 12,464.96, 17,194.41 and 8,216.69

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Solution

The fourth proportional to 12,464.96, 17,194.41 and 8,216.69 is: 11,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.96 : 17,194.41 = 8,216.69 : x
  2. Step 2: Convert to fraction form
    12,464.96/17,194.41 = 8,216.69/x
  3. Step 3: Cross multiply
    12,464.96x = 17,194.41 × 8,216.69
  4. Step 4: Simplify right side
    12,464.96x = 141,281,052.63
  5. Step 5: Solve for x
    x = 141,281,052.63/12,464.96
  6. Step 6: Final answer
    x = 11,334.26

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Half scale
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Double scale
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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.