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Finding the Fourth Proportional to 3,076.09, 4,614.17 and 996.08

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Solution

The fourth proportional to 3,076.09, 4,614.17 and 996.08 is: 1,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.09 : 4,614.17 = 996.08 : x
  2. Step 2: Convert to fraction form
    3,076.09/4,614.17 = 996.08/x
  3. Step 3: Cross multiply
    3,076.09x = 4,614.17 × 996.08
  4. Step 4: Simplify right side
    3,076.09x = 4,596,054.40
  5. Step 5: Solve for x
    x = 4,596,054.40/3,076.09
  6. Step 6: Final answer
    x = 1,494.12

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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.