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Finding the Fourth Proportional to 13,496.25, 18,626.45 and 7,907.25

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Solution

The fourth proportional to 13,496.25, 18,626.45 and 7,907.25 is: 10,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.25 : 18,626.45 = 7,907.25 : x
  2. Step 2: Convert to fraction form
    13,496.25/18,626.45 = 7,907.25/x
  3. Step 3: Cross multiply
    13,496.25x = 18,626.45 × 7,907.25
  4. Step 4: Simplify right side
    13,496.25x = 147,283,996.76
  5. Step 5: Solve for x
    x = 147,283,996.76/13,496.25
  6. Step 6: Final answer
    x = 10,912.96

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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.