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Finding the Fourth Proportional to 6,153, 9,199.48 and 5,239.32

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Solution

The fourth proportional to 6,153, 9,199.48 and 5,239.32 is: 7,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153 : 9,199.48 = 5,239.32 : x
  2. Step 2: Convert to fraction form
    6,153/9,199.48 = 5,239.32/x
  3. Step 3: Cross multiply
    6,153x = 9,199.48 × 5,239.32
  4. Step 4: Simplify right side
    6,153x = 48,199,019.55
  5. Step 5: Solve for x
    x = 48,199,019.55/6,153
  6. Step 6: Final answer
    x = 7,833.42

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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.