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Finding the Fourth Proportional to 12,698.44, 19,051.56 and 5,684.37

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Solution

The fourth proportional to 12,698.44, 19,051.56 and 5,684.37 is: 8,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.44 : 19,051.56 = 5,684.37 : x
  2. Step 2: Convert to fraction form
    12,698.44/19,051.56 = 5,684.37/x
  3. Step 3: Cross multiply
    12,698.44x = 19,051.56 × 5,684.37
  4. Step 4: Simplify right side
    12,698.44x = 108,296,116.12
  5. Step 5: Solve for x
    x = 108,296,116.12/12,698.44
  6. Step 6: Final answer
    x = 8,528.30

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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.