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Finding the Fourth Proportional to 7,766.78, 11,693.96 and 6,848.24

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Solution

The fourth proportional to 7,766.78, 11,693.96 and 6,848.24 is: 10,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.78 : 11,693.96 = 6,848.24 : x
  2. Step 2: Convert to fraction form
    7,766.78/11,693.96 = 6,848.24/x
  3. Step 3: Cross multiply
    7,766.78x = 11,693.96 × 6,848.24
  4. Step 4: Simplify right side
    7,766.78x = 80,083,044.63
  5. Step 5: Solve for x
    x = 80,083,044.63/7,766.78
  6. Step 6: Final answer
    x = 10,310.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.