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Finding the Fourth Proportional to 6,361.74, 9,530.46 and 4,166.10

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Solution

The fourth proportional to 6,361.74, 9,530.46 and 4,166.10 is: 6,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.74 : 9,530.46 = 4,166.10 : x
  2. Step 2: Convert to fraction form
    6,361.74/9,530.46 = 4,166.10/x
  3. Step 3: Cross multiply
    6,361.74x = 9,530.46 × 4,166.10
  4. Step 4: Simplify right side
    6,361.74x = 39,704,849.41
  5. Step 5: Solve for x
    x = 39,704,849.41/6,361.74
  6. Step 6: Final answer
    x = 6,241.19

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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.