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Finding the Fourth Proportional to 8,374.84, 12,562.68 and 3,181.12

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Solution

The fourth proportional to 8,374.84, 12,562.68 and 3,181.12 is: 4,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.84 : 12,562.68 = 3,181.12 : x
  2. Step 2: Convert to fraction form
    8,374.84/12,562.68 = 3,181.12/x
  3. Step 3: Cross multiply
    8,374.84x = 12,562.68 × 3,181.12
  4. Step 4: Simplify right side
    8,374.84x = 39,963,392.60
  5. Step 5: Solve for x
    x = 39,963,392.60/8,374.84
  6. Step 6: Final answer
    x = 4,771.84

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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.