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Finding the Fourth Proportional to 6,528.86, 9,772.26 and 3,404.42

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Solution

The fourth proportional to 6,528.86, 9,772.26 and 3,404.42 is: 5,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.86 : 9,772.26 = 3,404.42 : x
  2. Step 2: Convert to fraction form
    6,528.86/9,772.26 = 3,404.42/x
  3. Step 3: Cross multiply
    6,528.86x = 9,772.26 × 3,404.42
  4. Step 4: Simplify right side
    6,528.86x = 33,268,877.39
  5. Step 5: Solve for x
    x = 33,268,877.39/6,528.86
  6. Step 6: Final answer
    x = 5,095.66

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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.