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Finding the Fourth Proportional to 6,649.50, 9,974.39 and 2,032.50

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Solution

The fourth proportional to 6,649.50, 9,974.39 and 2,032.50 is: 3,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.50 : 9,974.39 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    6,649.50/9,974.39 = 2,032.50/x
  3. Step 3: Cross multiply
    6,649.50x = 9,974.39 × 2,032.50
  4. Step 4: Simplify right side
    6,649.50x = 20,272,937.51
  5. Step 5: Solve for x
    x = 20,272,937.51/6,649.50
  6. Step 6: Final answer
    x = 3,048.79

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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.