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Finding the Fourth Proportional to 5,786.64, 8,684.46 and 4,144.68

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Solution

The fourth proportional to 5,786.64, 8,684.46 and 4,144.68 is: 6,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.64 : 8,684.46 = 4,144.68 : x
  2. Step 2: Convert to fraction form
    5,786.64/8,684.46 = 4,144.68/x
  3. Step 3: Cross multiply
    5,786.64x = 8,684.46 × 4,144.68
  4. Step 4: Simplify right side
    5,786.64x = 35,994,307.67
  5. Step 5: Solve for x
    x = 35,994,307.67/5,786.64
  6. Step 6: Final answer
    x = 6,220.24

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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.