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Finding the Fourth Proportional to 7,050.06, 10,575.09 and 1,855.50

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Solution

The fourth proportional to 7,050.06, 10,575.09 and 1,855.50 is: 2,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.06 : 10,575.09 = 1,855.50 : x
  2. Step 2: Convert to fraction form
    7,050.06/10,575.09 = 1,855.50/x
  3. Step 3: Cross multiply
    7,050.06x = 10,575.09 × 1,855.50
  4. Step 4: Simplify right side
    7,050.06x = 19,622,079.50
  5. Step 5: Solve for x
    x = 19,622,079.50/7,050.06
  6. Step 6: Final answer
    x = 2,783.25

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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.