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Finding the Fourth Proportional to 13,846.87, 20,775.17 and 8,646.67

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Solution

The fourth proportional to 13,846.87, 20,775.17 and 8,646.67 is: 12,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.87 : 20,775.17 = 8,646.67 : x
  2. Step 2: Convert to fraction form
    13,846.87/20,775.17 = 8,646.67/x
  3. Step 3: Cross multiply
    13,846.87x = 20,775.17 × 8,646.67
  4. Step 4: Simplify right side
    13,846.87x = 179,636,080.31
  5. Step 5: Solve for x
    x = 179,636,080.31/13,846.87
  6. Step 6: Final answer
    x = 12,973.04

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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.