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Finding the Fourth Proportional to 9,744.80, 14,609.10 and 5,127.80

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Solution

The fourth proportional to 9,744.80, 14,609.10 and 5,127.80 is: 7,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.80 : 14,609.10 = 5,127.80 : x
  2. Step 2: Convert to fraction form
    9,744.80/14,609.10 = 5,127.80/x
  3. Step 3: Cross multiply
    9,744.80x = 14,609.10 × 5,127.80
  4. Step 4: Simplify right side
    9,744.80x = 74,912,542.98
  5. Step 5: Solve for x
    x = 74,912,542.98/9,744.80
  6. Step 6: Final answer
    x = 7,687.44

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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.