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Finding the Fourth Proportional to 6,516.63, 9,778.59 and 3,053.88

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Solution

The fourth proportional to 6,516.63, 9,778.59 and 3,053.88 is: 4,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.63 : 9,778.59 = 3,053.88 : x
  2. Step 2: Convert to fraction form
    6,516.63/9,778.59 = 3,053.88/x
  3. Step 3: Cross multiply
    6,516.63x = 9,778.59 × 3,053.88
  4. Step 4: Simplify right side
    6,516.63x = 29,862,640.43
  5. Step 5: Solve for x
    x = 29,862,640.43/6,516.63
  6. Step 6: Final answer
    x = 4,582.53

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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.