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Finding the Fourth Proportional to 6,559.36, 9,840.48 and 1,942.72

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Solution

The fourth proportional to 6,559.36, 9,840.48 and 1,942.72 is: 2,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.36 : 9,840.48 = 1,942.72 : x
  2. Step 2: Convert to fraction form
    6,559.36/9,840.48 = 1,942.72/x
  3. Step 3: Cross multiply
    6,559.36x = 9,840.48 × 1,942.72
  4. Step 4: Simplify right side
    6,559.36x = 19,117,297.31
  5. Step 5: Solve for x
    x = 19,117,297.31/6,559.36
  6. Step 6: Final answer
    x = 2,914.51

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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.