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Finding the Fourth Proportional to 6,573.30, 9,855.09 and 3,106.50

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Solution

The fourth proportional to 6,573.30, 9,855.09 and 3,106.50 is: 4,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.30 : 9,855.09 = 3,106.50 : x
  2. Step 2: Convert to fraction form
    6,573.30/9,855.09 = 3,106.50/x
  3. Step 3: Cross multiply
    6,573.30x = 9,855.09 × 3,106.50
  4. Step 4: Simplify right side
    6,573.30x = 30,614,837.09
  5. Step 5: Solve for x
    x = 30,614,837.09/6,573.30
  6. Step 6: Final answer
    x = 4,657.45

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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.