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Finding the Fourth Proportional to 8,682.32, 11,969.16 and 6,194

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Solution

The fourth proportional to 8,682.32, 11,969.16 and 6,194 is: 8,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.32 : 11,969.16 = 6,194 : x
  2. Step 2: Convert to fraction form
    8,682.32/11,969.16 = 6,194/x
  3. Step 3: Cross multiply
    8,682.32x = 11,969.16 × 6,194
  4. Step 4: Simplify right side
    8,682.32x = 74,136,977.04
  5. Step 5: Solve for x
    x = 74,136,977.04/8,682.32
  6. Step 6: Final answer
    x = 8,538.84

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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.