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Finding the Fourth Proportional to 11,204.16, 15,467.94 and 6,729

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Solution

The fourth proportional to 11,204.16, 15,467.94 and 6,729 is: 9,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.16 : 15,467.94 = 6,729 : x
  2. Step 2: Convert to fraction form
    11,204.16/15,467.94 = 6,729/x
  3. Step 3: Cross multiply
    11,204.16x = 15,467.94 × 6,729
  4. Step 4: Simplify right side
    11,204.16x = 104,083,768.26
  5. Step 5: Solve for x
    x = 104,083,768.26/11,204.16
  6. Step 6: Final answer
    x = 9,289.74

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1.5x scale

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.