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Finding the Fourth Proportional to 7,174.98, 9,901.60 and 4,342.42

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Solution

The fourth proportional to 7,174.98, 9,901.60 and 4,342.42 is: 5,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.98 : 9,901.60 = 4,342.42 : x
  2. Step 2: Convert to fraction form
    7,174.98/9,901.60 = 4,342.42/x
  3. Step 3: Cross multiply
    7,174.98x = 9,901.60 × 4,342.42
  4. Step 4: Simplify right side
    7,174.98x = 42,996,905.87
  5. Step 5: Solve for x
    x = 42,996,905.87/7,174.98
  6. Step 6: Final answer
    x = 5,992.62

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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.