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Finding the Fourth Proportional to 6,086.80, 9,128.04 and 1,982.80

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Solution

The fourth proportional to 6,086.80, 9,128.04 and 1,982.80 is: 2,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.80 : 9,128.04 = 1,982.80 : x
  2. Step 2: Convert to fraction form
    6,086.80/9,128.04 = 1,982.80/x
  3. Step 3: Cross multiply
    6,086.80x = 9,128.04 × 1,982.80
  4. Step 4: Simplify right side
    6,086.80x = 18,099,077.71
  5. Step 5: Solve for x
    x = 18,099,077.71/6,086.80
  6. Step 6: Final answer
    x = 2,973.50

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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.