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Finding the Fourth Proportional to 7,026, 10,539.84 and 2,409.12

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Solution

The fourth proportional to 7,026, 10,539.84 and 2,409.12 is: 3,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026 : 10,539.84 = 2,409.12 : x
  2. Step 2: Convert to fraction form
    7,026/10,539.84 = 2,409.12/x
  3. Step 3: Cross multiply
    7,026x = 10,539.84 × 2,409.12
  4. Step 4: Simplify right side
    7,026x = 25,391,739.34
  5. Step 5: Solve for x
    x = 25,391,739.34/7,026
  6. Step 6: Final answer
    x = 3,613.97

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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.