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Finding the Fourth Proportional to 14,577.84, 20,120 and 8,609.12

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Solution

The fourth proportional to 14,577.84, 20,120 and 8,609.12 is: 11,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.84 : 20,120 = 8,609.12 : x
  2. Step 2: Convert to fraction form
    14,577.84/20,120 = 8,609.12/x
  3. Step 3: Cross multiply
    14,577.84x = 20,120 × 8,609.12
  4. Step 4: Simplify right side
    14,577.84x = 173,215,494.40
  5. Step 5: Solve for x
    x = 173,215,494.40/14,577.84
  6. Step 6: Final answer
    x = 11,882.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.