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Finding the Fourth Proportional to 4,662.94, 6,994.41 and 1,741.47

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Solution

The fourth proportional to 4,662.94, 6,994.41 and 1,741.47 is: 2,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.94 : 6,994.41 = 1,741.47 : x
  2. Step 2: Convert to fraction form
    4,662.94/6,994.41 = 1,741.47/x
  3. Step 3: Cross multiply
    4,662.94x = 6,994.41 × 1,741.47
  4. Step 4: Simplify right side
    4,662.94x = 12,180,546.48
  5. Step 5: Solve for x
    x = 12,180,546.48/4,662.94
  6. Step 6: Final answer
    x = 2,612.20

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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.