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Finding the Fourth Proportional to 9,874.27, 14,815.05 and 4,676.50

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Solution

The fourth proportional to 9,874.27, 14,815.05 and 4,676.50 is: 7,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.27 : 14,815.05 = 4,676.50 : x
  2. Step 2: Convert to fraction form
    9,874.27/14,815.05 = 4,676.50/x
  3. Step 3: Cross multiply
    9,874.27x = 14,815.05 × 4,676.50
  4. Step 4: Simplify right side
    9,874.27x = 69,282,581.33
  5. Step 5: Solve for x
    x = 69,282,581.33/9,874.27
  6. Step 6: Final answer
    x = 7,016.48

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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.