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Finding the Fourth Proportional to 25,382.81, 38,074.22 and 6,914.81

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Solution

The fourth proportional to 25,382.81, 38,074.22 and 6,914.81 is: 10,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382.81 : 38,074.22 = 6,914.81 : x
  2. Step 2: Convert to fraction form
    25,382.81/38,074.22 = 6,914.81/x
  3. Step 3: Cross multiply
    25,382.81x = 38,074.22 × 6,914.81
  4. Step 4: Simplify right side
    25,382.81x = 263,276,083.74
  5. Step 5: Solve for x
    x = 263,276,083.74/25,382.81
  6. Step 6: Final answer
    x = 10,372.22

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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.