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Finding the Fourth Proportional to 6,735.50, 10,078.55 and 5,622.16

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Solution

The fourth proportional to 6,735.50, 10,078.55 and 5,622.16 is: 8,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.50 : 10,078.55 = 5,622.16 : x
  2. Step 2: Convert to fraction form
    6,735.50/10,078.55 = 5,622.16/x
  3. Step 3: Cross multiply
    6,735.50x = 10,078.55 × 5,622.16
  4. Step 4: Simplify right side
    6,735.50x = 56,663,220.67
  5. Step 5: Solve for x
    x = 56,663,220.67/6,735.50
  6. Step 6: Final answer
    x = 8,412.62

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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.