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Finding the Fourth Proportional to 27,116.46, 40,672.64 and 8,396.64

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Solution

The fourth proportional to 27,116.46, 40,672.64 and 8,396.64 is: 12,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,116.46 : 40,672.64 = 8,396.64 : x
  2. Step 2: Convert to fraction form
    27,116.46/40,672.64 = 8,396.64/x
  3. Step 3: Cross multiply
    27,116.46x = 40,672.64 × 8,396.64
  4. Step 4: Simplify right side
    27,116.46x = 341,513,473.95
  5. Step 5: Solve for x
    x = 341,513,473.95/27,116.46
  6. Step 6: Final answer
    x = 12,594.32

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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.