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Finding the Fourth Proportional to 8,676.14, 13,007.93 and 5,157.80

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Solution

The fourth proportional to 8,676.14, 13,007.93 and 5,157.80 is: 7,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.14 : 13,007.93 = 5,157.80 : x
  2. Step 2: Convert to fraction form
    8,676.14/13,007.93 = 5,157.80/x
  3. Step 3: Cross multiply
    8,676.14x = 13,007.93 × 5,157.80
  4. Step 4: Simplify right side
    8,676.14x = 67,092,210.53
  5. Step 5: Solve for x
    x = 67,092,210.53/8,676.14
  6. Step 6: Final answer
    x = 7,732.96

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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.