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Finding the Fourth Proportional to 8,676.84, 13,000.14 and 5,206.44

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Solution

The fourth proportional to 8,676.84, 13,000.14 and 5,206.44 is: 7,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.84 : 13,000.14 = 5,206.44 : x
  2. Step 2: Convert to fraction form
    8,676.84/13,000.14 = 5,206.44/x
  3. Step 3: Cross multiply
    8,676.84x = 13,000.14 × 5,206.44
  4. Step 4: Simplify right side
    8,676.84x = 67,684,448.90
  5. Step 5: Solve for x
    x = 67,684,448.90/8,676.84
  6. Step 6: Final answer
    x = 7,800.59

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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.