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Finding the Fourth Proportional to 12,643.74, 18,956.25 and 6,063.66

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Solution

The fourth proportional to 12,643.74, 18,956.25 and 6,063.66 is: 9,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.74 : 18,956.25 = 6,063.66 : x
  2. Step 2: Convert to fraction form
    12,643.74/18,956.25 = 6,063.66/x
  3. Step 3: Cross multiply
    12,643.74x = 18,956.25 × 6,063.66
  4. Step 4: Simplify right side
    12,643.74x = 114,944,254.88
  5. Step 5: Solve for x
    x = 114,944,254.88/12,643.74
  6. Step 6: Final answer
    x = 9,091.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.