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Finding the Fourth Proportional to 13,696.49, 18,902.04 and 7,725.98

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Solution

The fourth proportional to 13,696.49, 18,902.04 and 7,725.98 is: 10,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.49 : 18,902.04 = 7,725.98 : x
  2. Step 2: Convert to fraction form
    13,696.49/18,902.04 = 7,725.98/x
  3. Step 3: Cross multiply
    13,696.49x = 18,902.04 × 7,725.98
  4. Step 4: Simplify right side
    13,696.49x = 146,036,783.00
  5. Step 5: Solve for x
    x = 146,036,783.00/13,696.49
  6. Step 6: Final answer
    x = 10,662.35

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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.