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Finding the Fourth Proportional to 7,226.87, 9,966.40 and 5,548.34

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Solution

The fourth proportional to 7,226.87, 9,966.40 and 5,548.34 is: 7,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.87 : 9,966.40 = 5,548.34 : x
  2. Step 2: Convert to fraction form
    7,226.87/9,966.40 = 5,548.34/x
  3. Step 3: Cross multiply
    7,226.87x = 9,966.40 × 5,548.34
  4. Step 4: Simplify right side
    7,226.87x = 55,296,975.78
  5. Step 5: Solve for x
    x = 55,296,975.78/7,226.87
  6. Step 6: Final answer
    x = 7,651.58

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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.