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Finding the Fourth Proportional to 7,145.88, 9,861.51 and 4,002.27

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Solution

The fourth proportional to 7,145.88, 9,861.51 and 4,002.27 is: 5,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.88 : 9,861.51 = 4,002.27 : x
  2. Step 2: Convert to fraction form
    7,145.88/9,861.51 = 4,002.27/x
  3. Step 3: Cross multiply
    7,145.88x = 9,861.51 × 4,002.27
  4. Step 4: Simplify right side
    7,145.88x = 39,468,425.63
  5. Step 5: Solve for x
    x = 39,468,425.63/7,145.88
  6. Step 6: Final answer
    x = 5,523.24

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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.