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Finding the Fourth Proportional to 6,737.96, 10,106.99 and 2,355.42

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Solution

The fourth proportional to 6,737.96, 10,106.99 and 2,355.42 is: 3,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.96 : 10,106.99 = 2,355.42 : x
  2. Step 2: Convert to fraction form
    6,737.96/10,106.99 = 2,355.42/x
  3. Step 3: Cross multiply
    6,737.96x = 10,106.99 × 2,355.42
  4. Step 4: Simplify right side
    6,737.96x = 23,806,194.61
  5. Step 5: Solve for x
    x = 23,806,194.61/6,737.96
  6. Step 6: Final answer
    x = 3,533.15

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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.