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Finding the Fourth Proportional to 6,417.96, 8,851.26 and 4,179

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Solution

The fourth proportional to 6,417.96, 8,851.26 and 4,179 is: 5,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.96 : 8,851.26 = 4,179 : x
  2. Step 2: Convert to fraction form
    6,417.96/8,851.26 = 4,179/x
  3. Step 3: Cross multiply
    6,417.96x = 8,851.26 × 4,179
  4. Step 4: Simplify right side
    6,417.96x = 36,989,415.54
  5. Step 5: Solve for x
    x = 36,989,415.54/6,417.96
  6. Step 6: Final answer
    x = 5,763.42

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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.