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Finding the Fourth Proportional to 4,632.63, 6,946.84 and 1,998.89

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Solution

The fourth proportional to 4,632.63, 6,946.84 and 1,998.89 is: 2,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.63 : 6,946.84 = 1,998.89 : x
  2. Step 2: Convert to fraction form
    4,632.63/6,946.84 = 1,998.89/x
  3. Step 3: Cross multiply
    4,632.63x = 6,946.84 × 1,998.89
  4. Step 4: Simplify right side
    4,632.63x = 13,885,969.01
  5. Step 5: Solve for x
    x = 13,885,969.01/4,632.63
  6. Step 6: Final answer
    x = 2,997.43

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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.