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Finding the Fourth Proportional to 7,682.67, 10,602.16 and 4,324.83

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Solution

The fourth proportional to 7,682.67, 10,602.16 and 4,324.83 is: 5,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.67 : 10,602.16 = 4,324.83 : x
  2. Step 2: Convert to fraction form
    7,682.67/10,602.16 = 4,324.83/x
  3. Step 3: Cross multiply
    7,682.67x = 10,602.16 × 4,324.83
  4. Step 4: Simplify right side
    7,682.67x = 45,852,539.63
  5. Step 5: Solve for x
    x = 45,852,539.63/7,682.67
  6. Step 6: Final answer
    x = 5,968.31

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1.5x scale

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.