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Finding the Fourth Proportional to 6,683, 9,222.56 and 4,030.52

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Solution

The fourth proportional to 6,683, 9,222.56 and 4,030.52 is: 5,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683 : 9,222.56 = 4,030.52 : x
  2. Step 2: Convert to fraction form
    6,683/9,222.56 = 4,030.52/x
  3. Step 3: Cross multiply
    6,683x = 9,222.56 × 4,030.52
  4. Step 4: Simplify right side
    6,683x = 37,171,712.53
  5. Step 5: Solve for x
    x = 37,171,712.53/6,683
  6. Step 6: Final answer
    x = 5,562.13

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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.