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Finding the Fourth Proportional to 6,435.74, 9,648.30 and 2,737.48

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Solution

The fourth proportional to 6,435.74, 9,648.30 and 2,737.48 is: 4,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.74 : 9,648.30 = 2,737.48 : x
  2. Step 2: Convert to fraction form
    6,435.74/9,648.30 = 2,737.48/x
  3. Step 3: Cross multiply
    6,435.74x = 9,648.30 × 2,737.48
  4. Step 4: Simplify right side
    6,435.74x = 26,412,028.28
  5. Step 5: Solve for x
    x = 26,412,028.28/6,435.74
  6. Step 6: Final answer
    x = 4,103.96

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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.