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Finding the Fourth Proportional to 9,682.99, 14,499.84 and 6,763.34

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Solution

The fourth proportional to 9,682.99, 14,499.84 and 6,763.34 is: 10,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.99 : 14,499.84 = 6,763.34 : x
  2. Step 2: Convert to fraction form
    9,682.99/14,499.84 = 6,763.34/x
  3. Step 3: Cross multiply
    9,682.99x = 14,499.84 × 6,763.34
  4. Step 4: Simplify right side
    9,682.99x = 98,067,347.87
  5. Step 5: Solve for x
    x = 98,067,347.87/9,682.99
  6. Step 6: Final answer
    x = 10,127.80

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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.