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Finding the Fourth Proportional to 6,096.99, 8,407.68 and 4,974.33

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Solution

The fourth proportional to 6,096.99, 8,407.68 and 4,974.33 is: 6,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.99 : 8,407.68 = 4,974.33 : x
  2. Step 2: Convert to fraction form
    6,096.99/8,407.68 = 4,974.33/x
  3. Step 3: Cross multiply
    6,096.99x = 8,407.68 × 4,974.33
  4. Step 4: Simplify right side
    6,096.99x = 41,822,574.85
  5. Step 5: Solve for x
    x = 41,822,574.85/6,096.99
  6. Step 6: Final answer
    x = 6,859.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.