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Finding the Fourth Proportional to 6,468.66, 8,927.82 and 5,073.84

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Solution

The fourth proportional to 6,468.66, 8,927.82 and 5,073.84 is: 7,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.66 : 8,927.82 = 5,073.84 : x
  2. Step 2: Convert to fraction form
    6,468.66/8,927.82 = 5,073.84/x
  3. Step 3: Cross multiply
    6,468.66x = 8,927.82 × 5,073.84
  4. Step 4: Simplify right side
    6,468.66x = 45,298,330.23
  5. Step 5: Solve for x
    x = 45,298,330.23/6,468.66
  6. Step 6: Final answer
    x = 7,002.74

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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.