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Finding the Fourth Proportional to 6,093.64, 9,144.24 and 2,807.20

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Solution

The fourth proportional to 6,093.64, 9,144.24 and 2,807.20 is: 4,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.64 : 9,144.24 = 2,807.20 : x
  2. Step 2: Convert to fraction form
    6,093.64/9,144.24 = 2,807.20/x
  3. Step 3: Cross multiply
    6,093.64x = 9,144.24 × 2,807.20
  4. Step 4: Simplify right side
    6,093.64x = 25,669,710.53
  5. Step 5: Solve for x
    x = 25,669,710.53/6,093.64
  6. Step 6: Final answer
    x = 4,212.54

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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.