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Finding the Fourth Proportional to 7,174.35, 9,901.50 and 4,030.50

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Solution

The fourth proportional to 7,174.35, 9,901.50 and 4,030.50 is: 5,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.35 : 9,901.50 = 4,030.50 : x
  2. Step 2: Convert to fraction form
    7,174.35/9,901.50 = 4,030.50/x
  3. Step 3: Cross multiply
    7,174.35x = 9,901.50 × 4,030.50
  4. Step 4: Simplify right side
    7,174.35x = 39,907,995.75
  5. Step 5: Solve for x
    x = 39,907,995.75/7,174.35
  6. Step 6: Final answer
    x = 5,562.59

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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.