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Finding the Fourth Proportional to 14,593.84, 21,894 and 4,205.62

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Solution

The fourth proportional to 14,593.84, 21,894 and 4,205.62 is: 6,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.84 : 21,894 = 4,205.62 : x
  2. Step 2: Convert to fraction form
    14,593.84/21,894 = 4,205.62/x
  3. Step 3: Cross multiply
    14,593.84x = 21,894 × 4,205.62
  4. Step 4: Simplify right side
    14,593.84x = 92,077,844.28
  5. Step 5: Solve for x
    x = 92,077,844.28/14,593.84
  6. Step 6: Final answer
    x = 6,309.36

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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.