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Finding the Fourth Proportional to 6,093.84, 9,128.58 and 2,802.42

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Solution

The fourth proportional to 6,093.84, 9,128.58 and 2,802.42 is: 4,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.84 : 9,128.58 = 2,802.42 : x
  2. Step 2: Convert to fraction form
    6,093.84/9,128.58 = 2,802.42/x
  3. Step 3: Cross multiply
    6,093.84x = 9,128.58 × 2,802.42
  4. Step 4: Simplify right side
    6,093.84x = 25,582,115.16
  5. Step 5: Solve for x
    x = 25,582,115.16/6,093.84
  6. Step 6: Final answer
    x = 4,198.03

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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.