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Finding the Fourth Proportional to 6,503.19, 9,742.54 and 3,212.43

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Solution

The fourth proportional to 6,503.19, 9,742.54 and 3,212.43 is: 4,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.19 : 9,742.54 = 3,212.43 : x
  2. Step 2: Convert to fraction form
    6,503.19/9,742.54 = 3,212.43/x
  3. Step 3: Cross multiply
    6,503.19x = 9,742.54 × 3,212.43
  4. Step 4: Simplify right side
    6,503.19x = 31,297,227.77
  5. Step 5: Solve for x
    x = 31,297,227.77/6,503.19
  6. Step 6: Final answer
    x = 4,812.60

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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.