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Finding the Fourth Proportional to 25,995.84, 38,997 and 8,460.96

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Solution

The fourth proportional to 25,995.84, 38,997 and 8,460.96 is: 12,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,995.84 : 38,997 = 8,460.96 : x
  2. Step 2: Convert to fraction form
    25,995.84/38,997 = 8,460.96/x
  3. Step 3: Cross multiply
    25,995.84x = 38,997 × 8,460.96
  4. Step 4: Simplify right side
    25,995.84x = 329,952,057.12
  5. Step 5: Solve for x
    x = 329,952,057.12/25,995.84
  6. Step 6: Final answer
    x = 12,692.49

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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.