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Finding the Fourth Proportional to 7,204.56, 10,806.84 and 1,732.56

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Solution

The fourth proportional to 7,204.56, 10,806.84 and 1,732.56 is: 2,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.56 : 10,806.84 = 1,732.56 : x
  2. Step 2: Convert to fraction form
    7,204.56/10,806.84 = 1,732.56/x
  3. Step 3: Cross multiply
    7,204.56x = 10,806.84 × 1,732.56
  4. Step 4: Simplify right side
    7,204.56x = 18,723,498.71
  5. Step 5: Solve for x
    x = 18,723,498.71/7,204.56
  6. Step 6: Final answer
    x = 2,598.84

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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.