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Finding the Fourth Proportional to 6,059.97, 9,090.16 and 1,677.75

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Solution

The fourth proportional to 6,059.97, 9,090.16 and 1,677.75 is: 2,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.97 : 9,090.16 = 1,677.75 : x
  2. Step 2: Convert to fraction form
    6,059.97/9,090.16 = 1,677.75/x
  3. Step 3: Cross multiply
    6,059.97x = 9,090.16 × 1,677.75
  4. Step 4: Simplify right side
    6,059.97x = 15,251,015.94
  5. Step 5: Solve for x
    x = 15,251,015.94/6,059.97
  6. Step 6: Final answer
    x = 2,516.68

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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.