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Finding the Fourth Proportional to 10,027.18, 13,835.43 and 6,798.14

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Solution

The fourth proportional to 10,027.18, 13,835.43 and 6,798.14 is: 9,380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.18 : 13,835.43 = 6,798.14 : x
  2. Step 2: Convert to fraction form
    10,027.18/13,835.43 = 6,798.14/x
  3. Step 3: Cross multiply
    10,027.18x = 13,835.43 × 6,798.14
  4. Step 4: Simplify right side
    10,027.18x = 94,055,211.38
  5. Step 5: Solve for x
    x = 94,055,211.38/10,027.18
  6. Step 6: Final answer
    x = 9,380.03

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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.