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Finding the Fourth Proportional to 9,683.54, 13,360 and 6,148.80

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Solution

The fourth proportional to 9,683.54, 13,360 and 6,148.80 is: 8,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.54 : 13,360 = 6,148.80 : x
  2. Step 2: Convert to fraction form
    9,683.54/13,360 = 6,148.80/x
  3. Step 3: Cross multiply
    9,683.54x = 13,360 × 6,148.80
  4. Step 4: Simplify right side
    9,683.54x = 82,147,968
  5. Step 5: Solve for x
    x = 82,147,968/9,683.54
  6. Step 6: Final answer
    x = 8,483.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.