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Finding the Fourth Proportional to 10,906.40, 16,359.60 and 10,301.60

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Solution

The fourth proportional to 10,906.40, 16,359.60 and 10,301.60 is: 15,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.40 : 16,359.60 = 10,301.60 : x
  2. Step 2: Convert to fraction form
    10,906.40/16,359.60 = 10,301.60/x
  3. Step 3: Cross multiply
    10,906.40x = 16,359.60 × 10,301.60
  4. Step 4: Simplify right side
    10,906.40x = 168,530,055.36
  5. Step 5: Solve for x
    x = 168,530,055.36/10,906.40
  6. Step 6: Final answer
    x = 15,452.40

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1.5x scale

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.