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Finding the Fourth Proportional to 12,644.16, 17,454.50 and 8,170.08

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Solution

The fourth proportional to 12,644.16, 17,454.50 and 8,170.08 is: 11,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.16 : 17,454.50 = 8,170.08 : x
  2. Step 2: Convert to fraction form
    12,644.16/17,454.50 = 8,170.08/x
  3. Step 3: Cross multiply
    12,644.16x = 17,454.50 × 8,170.08
  4. Step 4: Simplify right side
    12,644.16x = 142,604,661.36
  5. Step 5: Solve for x
    x = 142,604,661.36/12,644.16
  6. Step 6: Final answer
    x = 11,278.30

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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.