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Finding the Fourth Proportional to 6,562.96, 9,849.46 and 2,406.90

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Solution

The fourth proportional to 6,562.96, 9,849.46 and 2,406.90 is: 3,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.96 : 9,849.46 = 2,406.90 : x
  2. Step 2: Convert to fraction form
    6,562.96/9,849.46 = 2,406.90/x
  3. Step 3: Cross multiply
    6,562.96x = 9,849.46 × 2,406.90
  4. Step 4: Simplify right side
    6,562.96x = 23,706,665.27
  5. Step 5: Solve for x
    x = 23,706,665.27/6,562.96
  6. Step 6: Final answer
    x = 3,612.19

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1.5x scale

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.