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Finding the Fourth Proportional to 6,536.74, 9,802.03 and 2,373.80

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Solution

The fourth proportional to 6,536.74, 9,802.03 and 2,373.80 is: 3,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.74 : 9,802.03 = 2,373.80 : x
  2. Step 2: Convert to fraction form
    6,536.74/9,802.03 = 2,373.80/x
  3. Step 3: Cross multiply
    6,536.74x = 9,802.03 × 2,373.80
  4. Step 4: Simplify right side
    6,536.74x = 23,268,046.95
  5. Step 5: Solve for x
    x = 23,268,046.95/6,536.74
  6. Step 6: Final answer
    x = 3,559.58

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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.