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Finding the Fourth Proportional to 9,673.28, 13,343.36 and 7,324.48

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Solution

The fourth proportional to 9,673.28, 13,343.36 and 7,324.48 is: 10,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.28 : 13,343.36 = 7,324.48 : x
  2. Step 2: Convert to fraction form
    9,673.28/13,343.36 = 7,324.48/x
  3. Step 3: Cross multiply
    9,673.28x = 13,343.36 × 7,324.48
  4. Step 4: Simplify right side
    9,673.28x = 97,733,173.45
  5. Step 5: Solve for x
    x = 97,733,173.45/9,673.28
  6. Step 6: Final answer
    x = 10,103.42

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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.