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Finding the Fourth Proportional to 11,066, 15,271.08 and 6,098

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Solution

The fourth proportional to 11,066, 15,271.08 and 6,098 is: 8,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066 : 15,271.08 = 6,098 : x
  2. Step 2: Convert to fraction form
    11,066/15,271.08 = 6,098/x
  3. Step 3: Cross multiply
    11,066x = 15,271.08 × 6,098
  4. Step 4: Simplify right side
    11,066x = 93,123,045.84
  5. Step 5: Solve for x
    x = 93,123,045.84/11,066
  6. Step 6: Final answer
    x = 8,415.24

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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.