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Finding the Fourth Proportional to 6,493.33, 9,728.81 and 5,071.44

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Solution

The fourth proportional to 6,493.33, 9,728.81 and 5,071.44 is: 7,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.33 : 9,728.81 = 5,071.44 : x
  2. Step 2: Convert to fraction form
    6,493.33/9,728.81 = 5,071.44/x
  3. Step 3: Cross multiply
    6,493.33x = 9,728.81 × 5,071.44
  4. Step 4: Simplify right side
    6,493.33x = 49,339,057.17
  5. Step 5: Solve for x
    x = 49,339,057.17/6,493.33
  6. Step 6: Final answer
    x = 7,598.42

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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.