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Finding the Fourth Proportional to 6,283, 9,461.11 and 4,651.12

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Solution

The fourth proportional to 6,283, 9,461.11 and 4,651.12 is: 7,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283 : 9,461.11 = 4,651.12 : x
  2. Step 2: Convert to fraction form
    6,283/9,461.11 = 4,651.12/x
  3. Step 3: Cross multiply
    6,283x = 9,461.11 × 4,651.12
  4. Step 4: Simplify right side
    6,283x = 44,004,757.94
  5. Step 5: Solve for x
    x = 44,004,757.94/6,283
  6. Step 6: Final answer
    x = 7,003.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.