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Finding the Fourth Proportional to 6,057.79, 9,072.10 and 4,104.07

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Solution

The fourth proportional to 6,057.79, 9,072.10 and 4,104.07 is: 6,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.79 : 9,072.10 = 4,104.07 : x
  2. Step 2: Convert to fraction form
    6,057.79/9,072.10 = 4,104.07/x
  3. Step 3: Cross multiply
    6,057.79x = 9,072.10 × 4,104.07
  4. Step 4: Simplify right side
    6,057.79x = 37,232,515.90
  5. Step 5: Solve for x
    x = 37,232,515.90/6,057.79
  6. Step 6: Final answer
    x = 6,146.22

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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.