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Finding the Fourth Proportional to 9,151.11, 13,716.78 and 4,460.78

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Solution

The fourth proportional to 9,151.11, 13,716.78 and 4,460.78 is: 6,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.11 : 13,716.78 = 4,460.78 : x
  2. Step 2: Convert to fraction form
    9,151.11/13,716.78 = 4,460.78/x
  3. Step 3: Cross multiply
    9,151.11x = 13,716.78 × 4,460.78
  4. Step 4: Simplify right side
    9,151.11x = 61,187,469.30
  5. Step 5: Solve for x
    x = 61,187,469.30/9,151.11
  6. Step 6: Final answer
    x = 6,686.34

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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.