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Finding the Fourth Proportional to 11,259, 15,537.42 and 6,291

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Solution

The fourth proportional to 11,259, 15,537.42 and 6,291 is: 8,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259 : 15,537.42 = 6,291 : x
  2. Step 2: Convert to fraction form
    11,259/15,537.42 = 6,291/x
  3. Step 3: Cross multiply
    11,259x = 15,537.42 × 6,291
  4. Step 4: Simplify right side
    11,259x = 97,745,909.22
  5. Step 5: Solve for x
    x = 97,745,909.22/11,259
  6. Step 6: Final answer
    x = 8,681.58

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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.