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Finding the Fourth Proportional to 6,781.73, 9,352.54 and 4,653.50

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Solution

The fourth proportional to 6,781.73, 9,352.54 and 4,653.50 is: 6,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.73 : 9,352.54 = 4,653.50 : x
  2. Step 2: Convert to fraction form
    6,781.73/9,352.54 = 4,653.50/x
  3. Step 3: Cross multiply
    6,781.73x = 9,352.54 × 4,653.50
  4. Step 4: Simplify right side
    6,781.73x = 43,522,030.38
  5. Step 5: Solve for x
    x = 43,522,030.38/6,781.73
  6. Step 6: Final answer
    x = 6,417.55

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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.