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Finding the Fourth Proportional to 12,682.96, 17,502.36 and 7,094

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Solution

The fourth proportional to 12,682.96, 17,502.36 and 7,094 is: 9,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.96 : 17,502.36 = 7,094 : x
  2. Step 2: Convert to fraction form
    12,682.96/17,502.36 = 7,094/x
  3. Step 3: Cross multiply
    12,682.96x = 17,502.36 × 7,094
  4. Step 4: Simplify right side
    12,682.96x = 124,161,741.84
  5. Step 5: Solve for x
    x = 124,161,741.84/12,682.96
  6. Step 6: Final answer
    x = 9,789.65

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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.