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Finding the Fourth Proportional to 6,526.72, 9,793.56 and 3,064

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Solution

The fourth proportional to 6,526.72, 9,793.56 and 3,064 is: 4,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.72 : 9,793.56 = 3,064 : x
  2. Step 2: Convert to fraction form
    6,526.72/9,793.56 = 3,064/x
  3. Step 3: Cross multiply
    6,526.72x = 9,793.56 × 3,064
  4. Step 4: Simplify right side
    6,526.72x = 30,007,467.84
  5. Step 5: Solve for x
    x = 30,007,467.84/6,526.72
  6. Step 6: Final answer
    x = 4,597.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.