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Finding the Fourth Proportional to 13,114, 18,097.32 and 7,226

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Solution

The fourth proportional to 13,114, 18,097.32 and 7,226 is: 9,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114 : 18,097.32 = 7,226 : x
  2. Step 2: Convert to fraction form
    13,114/18,097.32 = 7,226/x
  3. Step 3: Cross multiply
    13,114x = 18,097.32 × 7,226
  4. Step 4: Simplify right side
    13,114x = 130,771,234.32
  5. Step 5: Solve for x
    x = 130,771,234.32/13,114
  6. Step 6: Final answer
    x = 9,971.88

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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.