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Finding the Fourth Proportional to 9,764.68, 14,647.01 and 2,369.07

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Solution

The fourth proportional to 9,764.68, 14,647.01 and 2,369.07 is: 3,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.68 : 14,647.01 = 2,369.07 : x
  2. Step 2: Convert to fraction form
    9,764.68/14,647.01 = 2,369.07/x
  3. Step 3: Cross multiply
    9,764.68x = 14,647.01 × 2,369.07
  4. Step 4: Simplify right side
    9,764.68x = 34,699,797.90
  5. Step 5: Solve for x
    x = 34,699,797.90/9,764.68
  6. Step 6: Final answer
    x = 3,553.60

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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.