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Finding the Fourth Proportional to 10,872.84, 16,311.26 and 4,632.84

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Solution

The fourth proportional to 10,872.84, 16,311.26 and 4,632.84 is: 6,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.84 : 16,311.26 = 4,632.84 : x
  2. Step 2: Convert to fraction form
    10,872.84/16,311.26 = 4,632.84/x
  3. Step 3: Cross multiply
    10,872.84x = 16,311.26 × 4,632.84
  4. Step 4: Simplify right side
    10,872.84x = 75,567,457.78
  5. Step 5: Solve for x
    x = 75,567,457.78/10,872.84
  6. Step 6: Final answer
    x = 6,950.11

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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.