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Finding the Fourth Proportional to 8,033.64, 12,048.52 and 3,100.14

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Solution

The fourth proportional to 8,033.64, 12,048.52 and 3,100.14 is: 4,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.64 : 12,048.52 = 3,100.14 : x
  2. Step 2: Convert to fraction form
    8,033.64/12,048.52 = 3,100.14/x
  3. Step 3: Cross multiply
    8,033.64x = 12,048.52 × 3,100.14
  4. Step 4: Simplify right side
    8,033.64x = 37,352,098.79
  5. Step 5: Solve for x
    x = 37,352,098.79/8,033.64
  6. Step 6: Final answer
    x = 4,649.46

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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.