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Finding the Fourth Proportional to 6,902.58, 10,355.10 and 2,522.92

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Solution

The fourth proportional to 6,902.58, 10,355.10 and 2,522.92 is: 3,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.58 : 10,355.10 = 2,522.92 : x
  2. Step 2: Convert to fraction form
    6,902.58/10,355.10 = 2,522.92/x
  3. Step 3: Cross multiply
    6,902.58x = 10,355.10 × 2,522.92
  4. Step 4: Simplify right side
    6,902.58x = 26,125,088.89
  5. Step 5: Solve for x
    x = 26,125,088.89/6,902.58
  6. Step 6: Final answer
    x = 3,784.83

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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.