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Finding the Fourth Proportional to 25,823.00, 38,734.50 and 8,305.13

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Solution

The fourth proportional to 25,823.00, 38,734.50 and 8,305.13 is: 12,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.00 : 38,734.50 = 8,305.13 : x
  2. Step 2: Convert to fraction form
    25,823.00/38,734.50 = 8,305.13/x
  3. Step 3: Cross multiply
    25,823.00x = 38,734.50 × 8,305.13
  4. Step 4: Simplify right side
    25,823.00x = 321,694,864.31
  5. Step 5: Solve for x
    x = 321,694,864.31/25,823.00
  6. Step 6: Final answer
    x = 12,457.69

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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.