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Finding the Fourth Proportional to 6,582.72, 9,872.64 and 2,478.72

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Solution

The fourth proportional to 6,582.72, 9,872.64 and 2,478.72 is: 3,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.72 : 9,872.64 = 2,478.72 : x
  2. Step 2: Convert to fraction form
    6,582.72/9,872.64 = 2,478.72/x
  3. Step 3: Cross multiply
    6,582.72x = 9,872.64 × 2,478.72
  4. Step 4: Simplify right side
    6,582.72x = 24,471,510.22
  5. Step 5: Solve for x
    x = 24,471,510.22/6,582.72
  6. Step 6: Final answer
    x = 3,717.54

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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.