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Finding the Fourth Proportional to 12,698.80, 19,019.40 and 8,033.20

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Solution

The fourth proportional to 12,698.80, 19,019.40 and 8,033.20 is: 12,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.80 : 19,019.40 = 8,033.20 : x
  2. Step 2: Convert to fraction form
    12,698.80/19,019.40 = 8,033.20/x
  3. Step 3: Cross multiply
    12,698.80x = 19,019.40 × 8,033.20
  4. Step 4: Simplify right side
    12,698.80x = 152,786,644.08
  5. Step 5: Solve for x
    x = 152,786,644.08/12,698.80
  6. Step 6: Final answer
    x = 12,031.58

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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.