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Finding the Fourth Proportional to 12,824.61, 17,698.26 and 8,044.76

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Solution

The fourth proportional to 12,824.61, 17,698.26 and 8,044.76 is: 11,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.61 : 17,698.26 = 8,044.76 : x
  2. Step 2: Convert to fraction form
    12,824.61/17,698.26 = 8,044.76/x
  3. Step 3: Cross multiply
    12,824.61x = 17,698.26 × 8,044.76
  4. Step 4: Simplify right side
    12,824.61x = 142,378,165.63
  5. Step 5: Solve for x
    x = 142,378,165.63/12,824.61
  6. Step 6: Final answer
    x = 11,101.95

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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.