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Finding the Fourth Proportional to 11,617.95, 16,033.11 and 6,313.10

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Solution

The fourth proportional to 11,617.95, 16,033.11 and 6,313.10 is: 8,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.95 : 16,033.11 = 6,313.10 : x
  2. Step 2: Convert to fraction form
    11,617.95/16,033.11 = 6,313.10/x
  3. Step 3: Cross multiply
    11,617.95x = 16,033.11 × 6,313.10
  4. Step 4: Simplify right side
    11,617.95x = 101,218,546.58
  5. Step 5: Solve for x
    x = 101,218,546.58/11,617.95
  6. Step 6: Final answer
    x = 8,712.26

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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.