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Finding the Fourth Proportional to 4,504.69, 6,757.03 and 1,582.31

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Solution

The fourth proportional to 4,504.69, 6,757.03 and 1,582.31 is: 2,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.69 : 6,757.03 = 1,582.31 : x
  2. Step 2: Convert to fraction form
    4,504.69/6,757.03 = 1,582.31/x
  3. Step 3: Cross multiply
    4,504.69x = 6,757.03 × 1,582.31
  4. Step 4: Simplify right side
    4,504.69x = 10,691,682.35
  5. Step 5: Solve for x
    x = 10,691,682.35/4,504.69
  6. Step 6: Final answer
    x = 2,373.46

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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.