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Finding the Fourth Proportional to 6,339.99, 8,746.28 and 4,102.59

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Solution

The fourth proportional to 6,339.99, 8,746.28 and 4,102.59 is: 5,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.99 : 8,746.28 = 4,102.59 : x
  2. Step 2: Convert to fraction form
    6,339.99/8,746.28 = 4,102.59/x
  3. Step 3: Cross multiply
    6,339.99x = 8,746.28 × 4,102.59
  4. Step 4: Simplify right side
    6,339.99x = 35,882,380.35
  5. Step 5: Solve for x
    x = 35,882,380.35/6,339.99
  6. Step 6: Final answer
    x = 5,659.69

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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.