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Finding the Fourth Proportional to 11,097, 15,313.96 and 6,381.38

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Solution

The fourth proportional to 11,097, 15,313.96 and 6,381.38 is: 8,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097 : 15,313.96 = 6,381.38 : x
  2. Step 2: Convert to fraction form
    11,097/15,313.96 = 6,381.38/x
  3. Step 3: Cross multiply
    11,097x = 15,313.96 × 6,381.38
  4. Step 4: Simplify right side
    11,097x = 97,724,244.33
  5. Step 5: Solve for x
    x = 97,724,244.33/11,097
  6. Step 6: Final answer
    x = 8,806.37

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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.