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Finding the Fourth Proportional to 25,832.32, 38,754.80 and 8,303.84

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Solution

The fourth proportional to 25,832.32, 38,754.80 and 8,303.84 is: 12,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.32 : 38,754.80 = 8,303.84 : x
  2. Step 2: Convert to fraction form
    25,832.32/38,754.80 = 8,303.84/x
  3. Step 3: Cross multiply
    25,832.32x = 38,754.80 × 8,303.84
  4. Step 4: Simplify right side
    25,832.32x = 321,813,658.43
  5. Step 5: Solve for x
    x = 321,813,658.43/25,832.32
  6. Step 6: Final answer
    x = 12,457.79

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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.