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Finding the Fourth Proportional to 13,361.96, 18,443.22 and 7,774.04

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Solution

The fourth proportional to 13,361.96, 18,443.22 and 7,774.04 is: 10,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,361.96 : 18,443.22 = 7,774.04 : x
  2. Step 2: Convert to fraction form
    13,361.96/18,443.22 = 7,774.04/x
  3. Step 3: Cross multiply
    13,361.96x = 18,443.22 × 7,774.04
  4. Step 4: Simplify right side
    13,361.96x = 143,378,330.01
  5. Step 5: Solve for x
    x = 143,378,330.01/13,361.96
  6. Step 6: Final answer
    x = 10,730.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.