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Finding the Fourth Proportional to 6,568.60, 9,822.92 and 4,903.88

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Solution

The fourth proportional to 6,568.60, 9,822.92 and 4,903.88 is: 7,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.60 : 9,822.92 = 4,903.88 : x
  2. Step 2: Convert to fraction form
    6,568.60/9,822.92 = 4,903.88/x
  3. Step 3: Cross multiply
    6,568.60x = 9,822.92 × 4,903.88
  4. Step 4: Simplify right side
    6,568.60x = 48,170,420.93
  5. Step 5: Solve for x
    x = 48,170,420.93/6,568.60
  6. Step 6: Final answer
    x = 7,333.44

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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.