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Finding the Fourth Proportional to 6,365, 9,548.04 and 1,748

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Solution

The fourth proportional to 6,365, 9,548.04 and 1,748 is: 2,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365 : 9,548.04 = 1,748 : x
  2. Step 2: Convert to fraction form
    6,365/9,548.04 = 1,748/x
  3. Step 3: Cross multiply
    6,365x = 9,548.04 × 1,748
  4. Step 4: Simplify right side
    6,365x = 16,689,973.92
  5. Step 5: Solve for x
    x = 16,689,973.92/6,365
  6. Step 6: Final answer
    x = 2,622.15

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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.