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Finding the Fourth Proportional to 18,407.20, 27,619 and 9,640.06

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Solution

The fourth proportional to 18,407.20, 27,619 and 9,640.06 is: 14,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407.20 : 27,619 = 9,640.06 : x
  2. Step 2: Convert to fraction form
    18,407.20/27,619 = 9,640.06/x
  3. Step 3: Cross multiply
    18,407.20x = 27,619 × 9,640.06
  4. Step 4: Simplify right side
    18,407.20x = 266,248,817.14
  5. Step 5: Solve for x
    x = 266,248,817.14/18,407.20
  6. Step 6: Final answer
    x = 14,464.38

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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.