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Finding the Fourth Proportional to 6,186.64, 9,279.82 and 1,506.67

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Solution

The fourth proportional to 6,186.64, 9,279.82 and 1,506.67 is: 2,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.64 : 9,279.82 = 1,506.67 : x
  2. Step 2: Convert to fraction form
    6,186.64/9,279.82 = 1,506.67/x
  3. Step 3: Cross multiply
    6,186.64x = 9,279.82 × 1,506.67
  4. Step 4: Simplify right side
    6,186.64x = 13,981,599.43
  5. Step 5: Solve for x
    x = 13,981,599.43/6,186.64
  6. Step 6: Final answer
    x = 2,259.97

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