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Finding the Fourth Proportional to 11,643.69, 16,068.24 and 6,338.46

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Solution

The fourth proportional to 11,643.69, 16,068.24 and 6,338.46 is: 8,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.69 : 16,068.24 = 6,338.46 : x
  2. Step 2: Convert to fraction form
    11,643.69/16,068.24 = 6,338.46/x
  3. Step 3: Cross multiply
    11,643.69x = 16,068.24 × 6,338.46
  4. Step 4: Simplify right side
    11,643.69x = 101,847,896.51
  5. Step 5: Solve for x
    x = 101,847,896.51/11,643.69
  6. Step 6: Final answer
    x = 8,747.05

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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.