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Finding the Fourth Proportional to 12,796.40, 19,193.16 and 9,514.40

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Solution

The fourth proportional to 12,796.40, 19,193.16 and 9,514.40 is: 14,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.40 : 19,193.16 = 9,514.40 : x
  2. Step 2: Convert to fraction form
    12,796.40/19,193.16 = 9,514.40/x
  3. Step 3: Cross multiply
    12,796.40x = 19,193.16 × 9,514.40
  4. Step 4: Simplify right side
    12,796.40x = 182,611,401.50
  5. Step 5: Solve for x
    x = 182,611,401.50/12,796.40
  6. Step 6: Final answer
    x = 14,270.53

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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.