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Finding the Fourth Proportional to 14,645.34, 21,971.25 and 8,068.14

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Solution

The fourth proportional to 14,645.34, 21,971.25 and 8,068.14 is: 12,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.34 : 21,971.25 = 8,068.14 : x
  2. Step 2: Convert to fraction form
    14,645.34/21,971.25 = 8,068.14/x
  3. Step 3: Cross multiply
    14,645.34x = 21,971.25 × 8,068.14
  4. Step 4: Simplify right side
    14,645.34x = 177,267,120.98
  5. Step 5: Solve for x
    x = 177,267,120.98/14,645.34
  6. Step 6: Final answer
    x = 12,103.99

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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.