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Finding the Fourth Proportional to 25,723.35, 38,587.79 and 8,189.08

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Solution

The fourth proportional to 25,723.35, 38,587.79 and 8,189.08 is: 12,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,723.35 : 38,587.79 = 8,189.08 : x
  2. Step 2: Convert to fraction form
    25,723.35/38,587.79 = 8,189.08/x
  3. Step 3: Cross multiply
    25,723.35x = 38,587.79 × 8,189.08
  4. Step 4: Simplify right side
    25,723.35x = 315,998,423.34
  5. Step 5: Solve for x
    x = 315,998,423.34/25,723.35
  6. Step 6: Final answer
    x = 12,284.50

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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.