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Finding the Fourth Proportional to 6,206.60, 8,669.80 and 6,206.60

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Solution

The fourth proportional to 6,206.60, 8,669.80 and 6,206.60 is: 8,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.60 : 8,669.80 = 6,206.60 : x
  2. Step 2: Convert to fraction form
    6,206.60/8,669.80 = 6,206.60/x
  3. Step 3: Cross multiply
    6,206.60x = 8,669.80 × 6,206.60
  4. Step 4: Simplify right side
    6,206.60x = 53,809,980.68
  5. Step 5: Solve for x
    x = 53,809,980.68/6,206.60
  6. Step 6: Final answer
    x = 8,669.80

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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.