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Finding the Fourth Proportional to 6,237.56, 9,357.89 and 1,855.00

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Solution

The fourth proportional to 6,237.56, 9,357.89 and 1,855.00 is: 2,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.56 : 9,357.89 = 1,855.00 : x
  2. Step 2: Convert to fraction form
    6,237.56/9,357.89 = 1,855.00/x
  3. Step 3: Cross multiply
    6,237.56x = 9,357.89 × 1,855.00
  4. Step 4: Simplify right side
    6,237.56x = 17,358,888.37
  5. Step 5: Solve for x
    x = 17,358,888.37/6,237.56
  6. Step 6: Final answer
    x = 2,782.96

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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.