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Finding the Fourth Proportional to 14,922.83, 20,593.84 and 8,209.05

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Solution

The fourth proportional to 14,922.83, 20,593.84 and 8,209.05 is: 11,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.83 : 20,593.84 = 8,209.05 : x
  2. Step 2: Convert to fraction form
    14,922.83/20,593.84 = 8,209.05/x
  3. Step 3: Cross multiply
    14,922.83x = 20,593.84 × 8,209.05
  4. Step 4: Simplify right side
    14,922.83x = 169,055,862.25
  5. Step 5: Solve for x
    x = 169,055,862.25/14,922.83
  6. Step 6: Final answer
    x = 11,328.67

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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.