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Finding the Fourth Proportional to 6,388.84, 9,576.54 and 2,493.16

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Solution

The fourth proportional to 6,388.84, 9,576.54 and 2,493.16 is: 3,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.84 : 9,576.54 = 2,493.16 : x
  2. Step 2: Convert to fraction form
    6,388.84/9,576.54 = 2,493.16/x
  3. Step 3: Cross multiply
    6,388.84x = 9,576.54 × 2,493.16
  4. Step 4: Simplify right side
    6,388.84x = 23,875,846.47
  5. Step 5: Solve for x
    x = 23,875,846.47/6,388.84
  6. Step 6: Final answer
    x = 3,737.12

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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.