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Finding the Fourth Proportional to 11,885.08, 17,826 and 6,947.32

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Solution

The fourth proportional to 11,885.08, 17,826 and 6,947.32 is: 10,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.08 : 17,826 = 6,947.32 : x
  2. Step 2: Convert to fraction form
    11,885.08/17,826 = 6,947.32/x
  3. Step 3: Cross multiply
    11,885.08x = 17,826 × 6,947.32
  4. Step 4: Simplify right side
    11,885.08x = 123,842,926.32
  5. Step 5: Solve for x
    x = 123,842,926.32/11,885.08
  6. Step 6: Final answer
    x = 10,420.03

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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.