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Finding the Fourth Proportional to 6,538.58, 9,804.79 and 2,375.66

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Solution

The fourth proportional to 6,538.58, 9,804.79 and 2,375.66 is: 3,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.58 : 9,804.79 = 2,375.66 : x
  2. Step 2: Convert to fraction form
    6,538.58/9,804.79 = 2,375.66/x
  3. Step 3: Cross multiply
    6,538.58x = 9,804.79 × 2,375.66
  4. Step 4: Simplify right side
    6,538.58x = 23,292,792.45
  5. Step 5: Solve for x
    x = 23,292,792.45/6,538.58
  6. Step 6: Final answer
    x = 3,562.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.