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Finding the Fourth Proportional to 4,649.91, 6,416.46 and 2,660.46

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Solution

The fourth proportional to 4,649.91, 6,416.46 and 2,660.46 is: 3,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.91 : 6,416.46 = 2,660.46 : x
  2. Step 2: Convert to fraction form
    4,649.91/6,416.46 = 2,660.46/x
  3. Step 3: Cross multiply
    4,649.91x = 6,416.46 × 2,660.46
  4. Step 4: Simplify right side
    4,649.91x = 17,070,735.17
  5. Step 5: Solve for x
    x = 17,070,735.17/4,649.91
  6. Step 6: Final answer
    x = 3,671.20

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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.