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Finding the Fourth Proportional to 14,487.75, 19,995 and 8,200.14

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Solution

The fourth proportional to 14,487.75, 19,995 and 8,200.14 is: 11,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.75 : 19,995 = 8,200.14 : x
  2. Step 2: Convert to fraction form
    14,487.75/19,995 = 8,200.14/x
  3. Step 3: Cross multiply
    14,487.75x = 19,995 × 8,200.14
  4. Step 4: Simplify right side
    14,487.75x = 163,961,799.30
  5. Step 5: Solve for x
    x = 163,961,799.30/14,487.75
  6. Step 6: Final answer
    x = 11,317.27

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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.