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Finding the Fourth Proportional to 14,643.19, 21,968.03 and 6,847.75

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Solution

The fourth proportional to 14,643.19, 21,968.03 and 6,847.75 is: 10,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.19 : 21,968.03 = 6,847.75 : x
  2. Step 2: Convert to fraction form
    14,643.19/21,968.03 = 6,847.75/x
  3. Step 3: Cross multiply
    14,643.19x = 21,968.03 × 6,847.75
  4. Step 4: Simplify right side
    14,643.19x = 150,431,577.43
  5. Step 5: Solve for x
    x = 150,431,577.43/14,643.19
  6. Step 6: Final answer
    x = 10,273.14

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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.