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Finding the Fourth Proportional to 12,794.00, 17,635.28 and 8,536.64

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Solution

The fourth proportional to 12,794.00, 17,635.28 and 8,536.64 is: 11,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.00 : 17,635.28 = 8,536.64 : x
  2. Step 2: Convert to fraction form
    12,794.00/17,635.28 = 8,536.64/x
  3. Step 3: Cross multiply
    12,794.00x = 17,635.28 × 8,536.64
  4. Step 4: Simplify right side
    12,794.00x = 150,546,038.06
  5. Step 5: Solve for x
    x = 150,546,038.06/12,794.00
  6. Step 6: Final answer
    x = 11,766.92

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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.