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Finding the Fourth Proportional to 12,507.40, 17,252.06 and 8,024.05

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Solution

The fourth proportional to 12,507.40, 17,252.06 and 8,024.05 is: 11,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.40 : 17,252.06 = 8,024.05 : x
  2. Step 2: Convert to fraction form
    12,507.40/17,252.06 = 8,024.05/x
  3. Step 3: Cross multiply
    12,507.40x = 17,252.06 × 8,024.05
  4. Step 4: Simplify right side
    12,507.40x = 138,431,392.04
  5. Step 5: Solve for x
    x = 138,431,392.04/12,507.40
  6. Step 6: Final answer
    x = 11,067.96

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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.