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Finding the Fourth Proportional to 13,914.59, 19,202.06 and 7,626.96

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Solution

The fourth proportional to 13,914.59, 19,202.06 and 7,626.96 is: 10,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.59 : 19,202.06 = 7,626.96 : x
  2. Step 2: Convert to fraction form
    13,914.59/19,202.06 = 7,626.96/x
  3. Step 3: Cross multiply
    13,914.59x = 19,202.06 × 7,626.96
  4. Step 4: Simplify right side
    13,914.59x = 146,453,362.61
  5. Step 5: Solve for x
    x = 146,453,362.61/13,914.59
  6. Step 6: Final answer
    x = 10,525.17

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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.