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Finding the Fourth Proportional to 10,328.94, 14,256 and 6,556.60

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Solution

The fourth proportional to 10,328.94, 14,256 and 6,556.60 is: 9,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.94 : 14,256 = 6,556.60 : x
  2. Step 2: Convert to fraction form
    10,328.94/14,256 = 6,556.60/x
  3. Step 3: Cross multiply
    10,328.94x = 14,256 × 6,556.60
  4. Step 4: Simplify right side
    10,328.94x = 93,470,889.60
  5. Step 5: Solve for x
    x = 93,470,889.60/10,328.94
  6. Step 6: Final answer
    x = 9,049.42

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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.