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Finding the Fourth Proportional to 14,636.49, 21,954.74 and 6,850.77

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Solution

The fourth proportional to 14,636.49, 21,954.74 and 6,850.77 is: 10,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636.49 : 21,954.74 = 6,850.77 : x
  2. Step 2: Convert to fraction form
    14,636.49/21,954.74 = 6,850.77/x
  3. Step 3: Cross multiply
    14,636.49x = 21,954.74 × 6,850.77
  4. Step 4: Simplify right side
    14,636.49x = 150,406,839.90
  5. Step 5: Solve for x
    x = 150,406,839.90/14,636.49
  6. Step 6: Final answer
    x = 10,276.16

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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.