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Finding the Fourth Proportional to 14,561.94, 21,842.92 and 6,766.50

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Solution

The fourth proportional to 14,561.94, 21,842.92 and 6,766.50 is: 10,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.94 : 21,842.92 = 6,766.50 : x
  2. Step 2: Convert to fraction form
    14,561.94/21,842.92 = 6,766.50/x
  3. Step 3: Cross multiply
    14,561.94x = 21,842.92 × 6,766.50
  4. Step 4: Simplify right side
    14,561.94x = 147,800,118.18
  5. Step 5: Solve for x
    x = 147,800,118.18/14,561.94
  6. Step 6: Final answer
    x = 10,149.75

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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.