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Finding the Fourth Proportional to 6,029.99, 8,321.84 and 3,478.16

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Solution

The fourth proportional to 6,029.99, 8,321.84 and 3,478.16 is: 4,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.99 : 8,321.84 = 3,478.16 : x
  2. Step 2: Convert to fraction form
    6,029.99/8,321.84 = 3,478.16/x
  3. Step 3: Cross multiply
    6,029.99x = 8,321.84 × 3,478.16
  4. Step 4: Simplify right side
    6,029.99x = 28,944,632.01
  5. Step 5: Solve for x
    x = 28,944,632.01/6,029.99
  6. Step 6: Final answer
    x = 4,800.12

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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.