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Finding the Fourth Proportional to 7,206.34, 10,786.02 and 3,911.26

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Solution

The fourth proportional to 7,206.34, 10,786.02 and 3,911.26 is: 5,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.34 : 10,786.02 = 3,911.26 : x
  2. Step 2: Convert to fraction form
    7,206.34/10,786.02 = 3,911.26/x
  3. Step 3: Cross multiply
    7,206.34x = 10,786.02 × 3,911.26
  4. Step 4: Simplify right side
    7,206.34x = 42,186,928.59
  5. Step 5: Solve for x
    x = 42,186,928.59/7,206.34
  6. Step 6: Final answer
    x = 5,854.14

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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.