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Finding the Fourth Proportional to 6,998.38, 9,657.60 and 4,014.03

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Solution

The fourth proportional to 6,998.38, 9,657.60 and 4,014.03 is: 5,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.38 : 9,657.60 = 4,014.03 : x
  2. Step 2: Convert to fraction form
    6,998.38/9,657.60 = 4,014.03/x
  3. Step 3: Cross multiply
    6,998.38x = 9,657.60 × 4,014.03
  4. Step 4: Simplify right side
    6,998.38x = 38,765,896.13
  5. Step 5: Solve for x
    x = 38,765,896.13/6,998.38
  6. Step 6: Final answer
    x = 5,539.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.