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Finding the Fourth Proportional to 10,562.64, 15,847.20 and 6,661.68

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Solution

The fourth proportional to 10,562.64, 15,847.20 and 6,661.68 is: 9,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.64 : 15,847.20 = 6,661.68 : x
  2. Step 2: Convert to fraction form
    10,562.64/15,847.20 = 6,661.68/x
  3. Step 3: Cross multiply
    10,562.64x = 15,847.20 × 6,661.68
  4. Step 4: Simplify right side
    10,562.64x = 105,568,975.30
  5. Step 5: Solve for x
    x = 105,568,975.30/10,562.64
  6. Step 6: Final answer
    x = 9,994.56

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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.