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Finding the Fourth Proportional to 12,502.72, 17,254.12 and 6,837.80

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Solution

The fourth proportional to 12,502.72, 17,254.12 and 6,837.80 is: 9,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.72 : 17,254.12 = 6,837.80 : x
  2. Step 2: Convert to fraction form
    12,502.72/17,254.12 = 6,837.80/x
  3. Step 3: Cross multiply
    12,502.72x = 17,254.12 × 6,837.80
  4. Step 4: Simplify right side
    12,502.72x = 117,980,221.74
  5. Step 5: Solve for x
    x = 117,980,221.74/12,502.72
  6. Step 6: Final answer
    x = 9,436.36

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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.