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Finding the Fourth Proportional to 25,876.64, 38,814.97 and 8,346.48

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Solution

The fourth proportional to 25,876.64, 38,814.97 and 8,346.48 is: 12,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.64 : 38,814.97 = 8,346.48 : x
  2. Step 2: Convert to fraction form
    25,876.64/38,814.97 = 8,346.48/x
  3. Step 3: Cross multiply
    25,876.64x = 38,814.97 × 8,346.48
  4. Step 4: Simplify right side
    25,876.64x = 323,968,370.81
  5. Step 5: Solve for x
    x = 323,968,370.81/25,876.64
  6. Step 6: Final answer
    x = 12,519.72

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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.