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Finding the Fourth Proportional to 10,072.85, 13,898.86 and 5,824.31

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Solution

The fourth proportional to 10,072.85, 13,898.86 and 5,824.31 is: 8,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.85 : 13,898.86 = 5,824.31 : x
  2. Step 2: Convert to fraction form
    10,072.85/13,898.86 = 5,824.31/x
  3. Step 3: Cross multiply
    10,072.85x = 13,898.86 × 5,824.31
  4. Step 4: Simplify right side
    10,072.85x = 80,951,269.29
  5. Step 5: Solve for x
    x = 80,951,269.29/10,072.85
  6. Step 6: Final answer
    x = 8,036.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.