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Finding the Fourth Proportional to 6,384.67, 9,577.01 and 1,704.69

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Solution

The fourth proportional to 6,384.67, 9,577.01 and 1,704.69 is: 2,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.67 : 9,577.01 = 1,704.69 : x
  2. Step 2: Convert to fraction form
    6,384.67/9,577.01 = 1,704.69/x
  3. Step 3: Cross multiply
    6,384.67x = 9,577.01 × 1,704.69
  4. Step 4: Simplify right side
    6,384.67x = 16,325,833.18
  5. Step 5: Solve for x
    x = 16,325,833.18/6,384.67
  6. Step 6: Final answer
    x = 2,557.04

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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.