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Finding the Fourth Proportional to 6,097.80, 9,165.90 and 5,982.60

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Solution

The fourth proportional to 6,097.80, 9,165.90 and 5,982.60 is: 8,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.80 : 9,165.90 = 5,982.60 : x
  2. Step 2: Convert to fraction form
    6,097.80/9,165.90 = 5,982.60/x
  3. Step 3: Cross multiply
    6,097.80x = 9,165.90 × 5,982.60
  4. Step 4: Simplify right side
    6,097.80x = 54,835,913.34
  5. Step 5: Solve for x
    x = 54,835,913.34/6,097.80
  6. Step 6: Final answer
    x = 8,992.74

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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.