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Finding the Fourth Proportional to 25,997, 38,999.55 and 8,462.69

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Solution

The fourth proportional to 25,997, 38,999.55 and 8,462.69 is: 12,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997 : 38,999.55 = 8,462.69 : x
  2. Step 2: Convert to fraction form
    25,997/38,999.55 = 8,462.69/x
  3. Step 3: Cross multiply
    25,997x = 38,999.55 × 8,462.69
  4. Step 4: Simplify right side
    25,997x = 330,041,101.79
  5. Step 5: Solve for x
    x = 330,041,101.79/25,997
  6. Step 6: Final answer
    x = 12,695.35

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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.