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Finding the Fourth Proportional to 11,643.80, 16,068.07 and 6,338.58

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Solution

The fourth proportional to 11,643.80, 16,068.07 and 6,338.58 is: 8,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.80 : 16,068.07 = 6,338.58 : x
  2. Step 2: Convert to fraction form
    11,643.80/16,068.07 = 6,338.58/x
  3. Step 3: Cross multiply
    11,643.80x = 16,068.07 × 6,338.58
  4. Step 4: Simplify right side
    11,643.80x = 101,848,740.00
  5. Step 5: Solve for x
    x = 101,848,740.00/11,643.80
  6. Step 6: Final answer
    x = 8,747.04

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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.