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Finding the Fourth Proportional to 6,514.85, 9,772.20 and 1,584.49

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Solution

The fourth proportional to 6,514.85, 9,772.20 and 1,584.49 is: 2,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.85 : 9,772.20 = 1,584.49 : x
  2. Step 2: Convert to fraction form
    6,514.85/9,772.20 = 1,584.49/x
  3. Step 3: Cross multiply
    6,514.85x = 9,772.20 × 1,584.49
  4. Step 4: Simplify right side
    6,514.85x = 15,483,953.18
  5. Step 5: Solve for x
    x = 15,483,953.18/6,514.85
  6. Step 6: Final answer
    x = 2,376.72

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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.