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Finding the Fourth Proportional to 25,814.70, 38,723.67 and 8,284.14

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Solution

The fourth proportional to 25,814.70, 38,723.67 and 8,284.14 is: 12,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.70 : 38,723.67 = 8,284.14 : x
  2. Step 2: Convert to fraction form
    25,814.70/38,723.67 = 8,284.14/x
  3. Step 3: Cross multiply
    25,814.70x = 38,723.67 × 8,284.14
  4. Step 4: Simplify right side
    25,814.70x = 320,792,303.59
  5. Step 5: Solve for x
    x = 320,792,303.59/25,814.70
  6. Step 6: Final answer
    x = 12,426.73

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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.