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Finding the Fourth Proportional to 4,671.70, 6,998.10 and 2,911.30

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Solution

The fourth proportional to 4,671.70, 6,998.10 and 2,911.30 is: 4,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.70 : 6,998.10 = 2,911.30 : x
  2. Step 2: Convert to fraction form
    4,671.70/6,998.10 = 2,911.30/x
  3. Step 3: Cross multiply
    4,671.70x = 6,998.10 × 2,911.30
  4. Step 4: Simplify right side
    4,671.70x = 20,373,568.53
  5. Step 5: Solve for x
    x = 20,373,568.53/4,671.70
  6. Step 6: Final answer
    x = 4,361.06

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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.