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Finding the Fourth Proportional to 6,447.41, 9,669.54 and 2,697.16

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Solution

The fourth proportional to 6,447.41, 9,669.54 and 2,697.16 is: 4,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.41 : 9,669.54 = 2,697.16 : x
  2. Step 2: Convert to fraction form
    6,447.41/9,669.54 = 2,697.16/x
  3. Step 3: Cross multiply
    6,447.41x = 9,669.54 × 2,697.16
  4. Step 4: Simplify right side
    6,447.41x = 26,080,260.25
  5. Step 5: Solve for x
    x = 26,080,260.25/6,447.41
  6. Step 6: Final answer
    x = 4,045.08

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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.