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Finding the Fourth Proportional to 7,145.75, 9,861.14 and 4,002.01

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Solution

The fourth proportional to 7,145.75, 9,861.14 and 4,002.01 is: 5,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.75 : 9,861.14 = 4,002.01 : x
  2. Step 2: Convert to fraction form
    7,145.75/9,861.14 = 4,002.01/x
  3. Step 3: Cross multiply
    7,145.75x = 9,861.14 × 4,002.01
  4. Step 4: Simplify right side
    7,145.75x = 39,464,380.89
  5. Step 5: Solve for x
    x = 39,464,380.89/7,145.75
  6. Step 6: Final answer
    x = 5,522.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.