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Finding the Fourth Proportional to 8,676.71, 13,014.94 and 2,102.95

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Solution

The fourth proportional to 8,676.71, 13,014.94 and 2,102.95 is: 3,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.71 : 13,014.94 = 2,102.95 : x
  2. Step 2: Convert to fraction form
    8,676.71/13,014.94 = 2,102.95/x
  3. Step 3: Cross multiply
    8,676.71x = 13,014.94 × 2,102.95
  4. Step 4: Simplify right side
    8,676.71x = 27,369,738.16
  5. Step 5: Solve for x
    x = 27,369,738.16/8,676.71
  6. Step 6: Final answer
    x = 3,154.39

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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.