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Finding the Fourth Proportional to 10,993.26, 15,168.99 and 7,017.66

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Solution

The fourth proportional to 10,993.26, 15,168.99 and 7,017.66 is: 9,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.26 : 15,168.99 = 7,017.66 : x
  2. Step 2: Convert to fraction form
    10,993.26/15,168.99 = 7,017.66/x
  3. Step 3: Cross multiply
    10,993.26x = 15,168.99 × 7,017.66
  4. Step 4: Simplify right side
    10,993.26x = 106,450,814.36
  5. Step 5: Solve for x
    x = 106,450,814.36/10,993.26
  6. Step 6: Final answer
    x = 9,683.28

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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.