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Finding the Fourth Proportional to 4,847.90, 6,806.50 and 4,847.90

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Solution

The fourth proportional to 4,847.90, 6,806.50 and 4,847.90 is: 6,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.90 : 6,806.50 = 4,847.90 : x
  2. Step 2: Convert to fraction form
    4,847.90/6,806.50 = 4,847.90/x
  3. Step 3: Cross multiply
    4,847.90x = 6,806.50 × 4,847.90
  4. Step 4: Simplify right side
    4,847.90x = 32,997,231.35
  5. Step 5: Solve for x
    x = 32,997,231.35/4,847.90
  6. Step 6: Final answer
    x = 6,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.