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Finding the Fourth Proportional to 7,700.99, 11,548.64 and 2,769.30

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Solution

The fourth proportional to 7,700.99, 11,548.64 and 2,769.30 is: 4,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.99 : 11,548.64 = 2,769.30 : x
  2. Step 2: Convert to fraction form
    7,700.99/11,548.64 = 2,769.30/x
  3. Step 3: Cross multiply
    7,700.99x = 11,548.64 × 2,769.30
  4. Step 4: Simplify right side
    7,700.99x = 31,981,655.68
  5. Step 5: Solve for x
    x = 31,981,655.68/7,700.99
  6. Step 6: Final answer
    x = 4,152.93

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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.