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Finding the Fourth Proportional to 6,493.43, 8,955.06 and 4,254.49

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Solution

The fourth proportional to 6,493.43, 8,955.06 and 4,254.49 is: 5,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.43 : 8,955.06 = 4,254.49 : x
  2. Step 2: Convert to fraction form
    6,493.43/8,955.06 = 4,254.49/x
  3. Step 3: Cross multiply
    6,493.43x = 8,955.06 × 4,254.49
  4. Step 4: Simplify right side
    6,493.43x = 38,099,208.46
  5. Step 5: Solve for x
    x = 38,099,208.46/6,493.43
  6. Step 6: Final answer
    x = 5,867.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.