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Finding the Fourth Proportional to 8,406.34, 12,609.47 and 2,562.93

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Solution

The fourth proportional to 8,406.34, 12,609.47 and 2,562.93 is: 3,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.34 : 12,609.47 = 2,562.93 : x
  2. Step 2: Convert to fraction form
    8,406.34/12,609.47 = 2,562.93/x
  3. Step 3: Cross multiply
    8,406.34x = 12,609.47 × 2,562.93
  4. Step 4: Simplify right side
    8,406.34x = 32,317,195.35
  5. Step 5: Solve for x
    x = 32,317,195.35/8,406.34
  6. Step 6: Final answer
    x = 3,844.38

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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.