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Finding the Fourth Proportional to 7,145.86, 9,861.16 and 4,002.16

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Solution

The fourth proportional to 7,145.86, 9,861.16 and 4,002.16 is: 5,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.86 : 9,861.16 = 4,002.16 : x
  2. Step 2: Convert to fraction form
    7,145.86/9,861.16 = 4,002.16/x
  3. Step 3: Cross multiply
    7,145.86x = 9,861.16 × 4,002.16
  4. Step 4: Simplify right side
    7,145.86x = 39,465,940.11
  5. Step 5: Solve for x
    x = 39,465,940.11/7,145.86
  6. Step 6: Final answer
    x = 5,522.91

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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.