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Finding the Fourth Proportional to 6,094.70, 9,142.90 and 2,146.48

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Solution

The fourth proportional to 6,094.70, 9,142.90 and 2,146.48 is: 3,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.70 : 9,142.90 = 2,146.48 : x
  2. Step 2: Convert to fraction form
    6,094.70/9,142.90 = 2,146.48/x
  3. Step 3: Cross multiply
    6,094.70x = 9,142.90 × 2,146.48
  4. Step 4: Simplify right side
    6,094.70x = 19,625,051.99
  5. Step 5: Solve for x
    x = 19,625,051.99/6,094.70
  6. Step 6: Final answer
    x = 3,220.02

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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.