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Finding the Fourth Proportional to 7,226.40, 10,823.40 and 5,930.40

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Solution

The fourth proportional to 7,226.40, 10,823.40 and 5,930.40 is: 8,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.40 : 10,823.40 = 5,930.40 : x
  2. Step 2: Convert to fraction form
    7,226.40/10,823.40 = 5,930.40/x
  3. Step 3: Cross multiply
    7,226.40x = 10,823.40 × 5,930.40
  4. Step 4: Simplify right side
    7,226.40x = 64,187,091.36
  5. Step 5: Solve for x
    x = 64,187,091.36/7,226.40
  6. Step 6: Final answer
    x = 8,882.31

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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.