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Finding the Fourth Proportional to 10,674.92, 14,732.21 and 5,895.79

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Solution

The fourth proportional to 10,674.92, 14,732.21 and 5,895.79 is: 8,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.92 : 14,732.21 = 5,895.79 : x
  2. Step 2: Convert to fraction form
    10,674.92/14,732.21 = 5,895.79/x
  3. Step 3: Cross multiply
    10,674.92x = 14,732.21 × 5,895.79
  4. Step 4: Simplify right side
    10,674.92x = 86,857,994.30
  5. Step 5: Solve for x
    x = 86,857,994.30/10,674.92
  6. Step 6: Final answer
    x = 8,136.64

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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.