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Finding the Fourth Proportional to 6,186.76, 9,268.52 and 3,063.14

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Solution

The fourth proportional to 6,186.76, 9,268.52 and 3,063.14 is: 4,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.76 : 9,268.52 = 3,063.14 : x
  2. Step 2: Convert to fraction form
    6,186.76/9,268.52 = 3,063.14/x
  3. Step 3: Cross multiply
    6,186.76x = 9,268.52 × 3,063.14
  4. Step 4: Simplify right side
    6,186.76x = 28,390,774.35
  5. Step 5: Solve for x
    x = 28,390,774.35/6,186.76
  6. Step 6: Final answer
    x = 4,588.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.