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Finding the Fourth Proportional to 11,797.72, 16,281.21 and 6,492.88

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Solution

The fourth proportional to 11,797.72, 16,281.21 and 6,492.88 is: 8,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.72 : 16,281.21 = 6,492.88 : x
  2. Step 2: Convert to fraction form
    11,797.72/16,281.21 = 6,492.88/x
  3. Step 3: Cross multiply
    11,797.72x = 16,281.21 × 6,492.88
  4. Step 4: Simplify right side
    11,797.72x = 105,711,942.78
  5. Step 5: Solve for x
    x = 105,711,942.78/11,797.72
  6. Step 6: Final answer
    x = 8,960.37

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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.