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Finding the Fourth Proportional to 6,869.72, 10,289.94 and 3,354.32

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Solution

The fourth proportional to 6,869.72, 10,289.94 and 3,354.32 is: 5,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.72 : 10,289.94 = 3,354.32 : x
  2. Step 2: Convert to fraction form
    6,869.72/10,289.94 = 3,354.32/x
  3. Step 3: Cross multiply
    6,869.72x = 10,289.94 × 3,354.32
  4. Step 4: Simplify right side
    6,869.72x = 34,515,751.54
  5. Step 5: Solve for x
    x = 34,515,751.54/6,869.72
  6. Step 6: Final answer
    x = 5,024.33

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1.5x scale

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.