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Finding the Fourth Proportional to 9,800.80, 14,698.04 and 3,225.42

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Solution

The fourth proportional to 9,800.80, 14,698.04 and 3,225.42 is: 4,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.80 : 14,698.04 = 3,225.42 : x
  2. Step 2: Convert to fraction form
    9,800.80/14,698.04 = 3,225.42/x
  3. Step 3: Cross multiply
    9,800.80x = 14,698.04 × 3,225.42
  4. Step 4: Simplify right side
    9,800.80x = 47,407,352.18
  5. Step 5: Solve for x
    x = 47,407,352.18/9,800.80
  6. Step 6: Final answer
    x = 4,837.09

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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.