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Finding the Fourth Proportional to 8,676.10, 13,014.15 and 3,742.30

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Solution

The fourth proportional to 8,676.10, 13,014.15 and 3,742.30 is: 5,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.10 : 13,014.15 = 3,742.30 : x
  2. Step 2: Convert to fraction form
    8,676.10/13,014.15 = 3,742.30/x
  3. Step 3: Cross multiply
    8,676.10x = 13,014.15 × 3,742.30
  4. Step 4: Simplify right side
    8,676.10x = 48,702,853.55
  5. Step 5: Solve for x
    x = 48,702,853.55/8,676.10
  6. Step 6: Final answer
    x = 5,613.45

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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.