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Finding the Fourth Proportional to 8,098, 11,174.40 and 4,740.64

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Solution

The fourth proportional to 8,098, 11,174.40 and 4,740.64 is: 6,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098 : 11,174.40 = 4,740.64 : x
  2. Step 2: Convert to fraction form
    8,098/11,174.40 = 4,740.64/x
  3. Step 3: Cross multiply
    8,098x = 11,174.40 × 4,740.64
  4. Step 4: Simplify right side
    8,098x = 52,973,807.62
  5. Step 5: Solve for x
    x = 52,973,807.62/8,098
  6. Step 6: Final answer
    x = 6,541.59

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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.