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Finding the Fourth Proportional to 10,161.68, 15,244.10 and 6,004.68

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Solution

The fourth proportional to 10,161.68, 15,244.10 and 6,004.68 is: 9,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.68 : 15,244.10 = 6,004.68 : x
  2. Step 2: Convert to fraction form
    10,161.68/15,244.10 = 6,004.68/x
  3. Step 3: Cross multiply
    10,161.68x = 15,244.10 × 6,004.68
  4. Step 4: Simplify right side
    10,161.68x = 91,535,912.36
  5. Step 5: Solve for x
    x = 91,535,912.36/10,161.68
  6. Step 6: Final answer
    x = 9,007.96

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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.