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Finding the Fourth Proportional to 6,269.50, 9,404.82 and 1,652.50

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Solution

The fourth proportional to 6,269.50, 9,404.82 and 1,652.50 is: 2,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.50 : 9,404.82 = 1,652.50 : x
  2. Step 2: Convert to fraction form
    6,269.50/9,404.82 = 1,652.50/x
  3. Step 3: Cross multiply
    6,269.50x = 9,404.82 × 1,652.50
  4. Step 4: Simplify right side
    6,269.50x = 15,541,465.05
  5. Step 5: Solve for x
    x = 15,541,465.05/6,269.50
  6. Step 6: Final answer
    x = 2,478.90

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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.