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Finding the Fourth Proportional to 9,698.70, 14,540.85 and 3,852.30

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Solution

The fourth proportional to 9,698.70, 14,540.85 and 3,852.30 is: 5,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.70 : 14,540.85 = 3,852.30 : x
  2. Step 2: Convert to fraction form
    9,698.70/14,540.85 = 3,852.30/x
  3. Step 3: Cross multiply
    9,698.70x = 14,540.85 × 3,852.30
  4. Step 4: Simplify right side
    9,698.70x = 56,015,716.46
  5. Step 5: Solve for x
    x = 56,015,716.46/9,698.70
  6. Step 6: Final answer
    x = 5,775.59

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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.