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Finding the Fourth Proportional to 6,367.96, 8,774.82 and 4,875.88

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Solution

The fourth proportional to 6,367.96, 8,774.82 and 4,875.88 is: 6,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.96 : 8,774.82 = 4,875.88 : x
  2. Step 2: Convert to fraction form
    6,367.96/8,774.82 = 4,875.88/x
  3. Step 3: Cross multiply
    6,367.96x = 8,774.82 × 4,875.88
  4. Step 4: Simplify right side
    6,367.96x = 42,784,969.34
  5. Step 5: Solve for x
    x = 42,784,969.34/6,367.96
  6. Step 6: Final answer
    x = 6,718.79

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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.