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Finding the Fourth Proportional to 8,206.96, 12,316.90 and 3,014.32

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Solution

The fourth proportional to 8,206.96, 12,316.90 and 3,014.32 is: 4,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.96 : 12,316.90 = 3,014.32 : x
  2. Step 2: Convert to fraction form
    8,206.96/12,316.90 = 3,014.32/x
  3. Step 3: Cross multiply
    8,206.96x = 12,316.90 × 3,014.32
  4. Step 4: Simplify right side
    8,206.96x = 37,127,078.01
  5. Step 5: Solve for x
    x = 37,127,078.01/8,206.96
  6. Step 6: Final answer
    x = 4,523.85

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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.