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Finding the Fourth Proportional to 9,898.27, 14,847.41 and 4,052.50

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Solution

The fourth proportional to 9,898.27, 14,847.41 and 4,052.50 is: 6,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.27 : 14,847.41 = 4,052.50 : x
  2. Step 2: Convert to fraction form
    9,898.27/14,847.41 = 4,052.50/x
  3. Step 3: Cross multiply
    9,898.27x = 14,847.41 × 4,052.50
  4. Step 4: Simplify right side
    9,898.27x = 60,169,129.03
  5. Step 5: Solve for x
    x = 60,169,129.03/9,898.27
  6. Step 6: Final answer
    x = 6,078.75

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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.