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Finding the Fourth Proportional to 14,577.27, 21,868.03 and 7,182.17

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Solution

The fourth proportional to 14,577.27, 21,868.03 and 7,182.17 is: 10,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.27 : 21,868.03 = 7,182.17 : x
  2. Step 2: Convert to fraction form
    14,577.27/21,868.03 = 7,182.17/x
  3. Step 3: Cross multiply
    14,577.27x = 21,868.03 × 7,182.17
  4. Step 4: Simplify right side
    14,577.27x = 157,059,850.27
  5. Step 5: Solve for x
    x = 157,059,850.27/14,577.27
  6. Step 6: Final answer
    x = 10,774.30

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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.