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Finding the Fourth Proportional to 14,911.44, 20,577 and 8,197.92

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Solution

The fourth proportional to 14,911.44, 20,577 and 8,197.92 is: 11,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.44 : 20,577 = 8,197.92 : x
  2. Step 2: Convert to fraction form
    14,911.44/20,577 = 8,197.92/x
  3. Step 3: Cross multiply
    14,911.44x = 20,577 × 8,197.92
  4. Step 4: Simplify right side
    14,911.44x = 168,688,599.84
  5. Step 5: Solve for x
    x = 168,688,599.84/14,911.44
  6. Step 6: Final answer
    x = 11,312.70

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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.