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Finding the Fourth Proportional to 8,522.54, 11,756.40 and 7,969.22

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Solution

The fourth proportional to 8,522.54, 11,756.40 and 7,969.22 is: 10,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.54 : 11,756.40 = 7,969.22 : x
  2. Step 2: Convert to fraction form
    8,522.54/11,756.40 = 7,969.22/x
  3. Step 3: Cross multiply
    8,522.54x = 11,756.40 × 7,969.22
  4. Step 4: Simplify right side
    8,522.54x = 93,689,338.01
  5. Step 5: Solve for x
    x = 93,689,338.01/8,522.54
  6. Step 6: Final answer
    x = 10,993.12

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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.