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Finding the Fourth Proportional to 6,386.12, 9,576 and 2,637.20

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Solution

The fourth proportional to 6,386.12, 9,576 and 2,637.20 is: 3,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.12 : 9,576 = 2,637.20 : x
  2. Step 2: Convert to fraction form
    6,386.12/9,576 = 2,637.20/x
  3. Step 3: Cross multiply
    6,386.12x = 9,576 × 2,637.20
  4. Step 4: Simplify right side
    6,386.12x = 25,253,827.20
  5. Step 5: Solve for x
    x = 25,253,827.20/6,386.12
  6. Step 6: Final answer
    x = 3,954.49

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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.