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Finding the Fourth Proportional to 19,711.64, 29,568 and 6,563.54

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Solution

The fourth proportional to 19,711.64, 29,568 and 6,563.54 is: 9,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.64 : 29,568 = 6,563.54 : x
  2. Step 2: Convert to fraction form
    19,711.64/29,568 = 6,563.54/x
  3. Step 3: Cross multiply
    19,711.64x = 29,568 × 6,563.54
  4. Step 4: Simplify right side
    19,711.64x = 194,070,750.72
  5. Step 5: Solve for x
    x = 194,070,750.72/19,711.64
  6. Step 6: Final answer
    x = 9,845.49

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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.