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Finding the Fourth Proportional to 6,557.88, 9,838.74 and 1,941.24

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Solution

The fourth proportional to 6,557.88, 9,838.74 and 1,941.24 is: 2,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.88 : 9,838.74 = 1,941.24 : x
  2. Step 2: Convert to fraction form
    6,557.88/9,838.74 = 1,941.24/x
  3. Step 3: Cross multiply
    6,557.88x = 9,838.74 × 1,941.24
  4. Step 4: Simplify right side
    6,557.88x = 19,099,355.64
  5. Step 5: Solve for x
    x = 19,099,355.64/6,557.88
  6. Step 6: Final answer
    x = 2,912.43

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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.