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Finding the Fourth Proportional to 12,537.82, 17,301.26 and 6,871.66

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Solution

The fourth proportional to 12,537.82, 17,301.26 and 6,871.66 is: 9,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.82 : 17,301.26 = 6,871.66 : x
  2. Step 2: Convert to fraction form
    12,537.82/17,301.26 = 6,871.66/x
  3. Step 3: Cross multiply
    12,537.82x = 17,301.26 × 6,871.66
  4. Step 4: Simplify right side
    12,537.82x = 118,888,376.29
  5. Step 5: Solve for x
    x = 118,888,376.29/12,537.82
  6. Step 6: Final answer
    x = 9,482.38

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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.