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Finding the Fourth Proportional to 12,747, 17,583.24 and 8,023.08

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Solution

The fourth proportional to 12,747, 17,583.24 and 8,023.08 is: 11,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747 : 17,583.24 = 8,023.08 : x
  2. Step 2: Convert to fraction form
    12,747/17,583.24 = 8,023.08/x
  3. Step 3: Cross multiply
    12,747x = 17,583.24 × 8,023.08
  4. Step 4: Simplify right side
    12,747x = 141,071,741.18
  5. Step 5: Solve for x
    x = 141,071,741.18/12,747
  6. Step 6: Final answer
    x = 11,067.05

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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.