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Finding the Fourth Proportional to 7,673.80, 11,510.70 and 3,288.42

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Solution

The fourth proportional to 7,673.80, 11,510.70 and 3,288.42 is: 4,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.80 : 11,510.70 = 3,288.42 : x
  2. Step 2: Convert to fraction form
    7,673.80/11,510.70 = 3,288.42/x
  3. Step 3: Cross multiply
    7,673.80x = 11,510.70 × 3,288.42
  4. Step 4: Simplify right side
    7,673.80x = 37,852,016.09
  5. Step 5: Solve for x
    x = 37,852,016.09/7,673.80
  6. Step 6: Final answer
    x = 4,932.63

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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.