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Finding the Fourth Proportional to 12,476.70, 17,203.86 and 8,500.14

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Solution

The fourth proportional to 12,476.70, 17,203.86 and 8,500.14 is: 11,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.70 : 17,203.86 = 8,500.14 : x
  2. Step 2: Convert to fraction form
    12,476.70/17,203.86 = 8,500.14/x
  3. Step 3: Cross multiply
    12,476.70x = 17,203.86 × 8,500.14
  4. Step 4: Simplify right side
    12,476.70x = 146,235,218.54
  5. Step 5: Solve for x
    x = 146,235,218.54/12,476.70
  6. Step 6: Final answer
    x = 11,720.66

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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.