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Finding the Fourth Proportional to 7,101.38, 9,798.26 and 4,267.80

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Solution

The fourth proportional to 7,101.38, 9,798.26 and 4,267.80 is: 5,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.38 : 9,798.26 = 4,267.80 : x
  2. Step 2: Convert to fraction form
    7,101.38/9,798.26 = 4,267.80/x
  3. Step 3: Cross multiply
    7,101.38x = 9,798.26 × 4,267.80
  4. Step 4: Simplify right side
    7,101.38x = 41,817,014.03
  5. Step 5: Solve for x
    x = 41,817,014.03/7,101.38
  6. Step 6: Final answer
    x = 5,888.58

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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.