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Finding the Fourth Proportional to 6,365, 9,547.42 and 2,469.40

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Solution

The fourth proportional to 6,365, 9,547.42 and 2,469.40 is: 3,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365 : 9,547.42 = 2,469.40 : x
  2. Step 2: Convert to fraction form
    6,365/9,547.42 = 2,469.40/x
  3. Step 3: Cross multiply
    6,365x = 9,547.42 × 2,469.40
  4. Step 4: Simplify right side
    6,365x = 23,576,398.95
  5. Step 5: Solve for x
    x = 23,576,398.95/6,365
  6. Step 6: Final answer
    x = 3,704.07

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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.