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Finding the Fourth Proportional to 14,632.53, 21,949.34 and 6,839.25

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Solution

The fourth proportional to 14,632.53, 21,949.34 and 6,839.25 is: 10,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.53 : 21,949.34 = 6,839.25 : x
  2. Step 2: Convert to fraction form
    14,632.53/21,949.34 = 6,839.25/x
  3. Step 3: Cross multiply
    14,632.53x = 21,949.34 × 6,839.25
  4. Step 4: Simplify right side
    14,632.53x = 150,116,989.40
  5. Step 5: Solve for x
    x = 150,116,989.40/14,632.53
  6. Step 6: Final answer
    x = 10,259.13

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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.