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Finding the Fourth Proportional to 7,209.54, 10,814.30 and 2,823.93

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Solution

The fourth proportional to 7,209.54, 10,814.30 and 2,823.93 is: 4,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.54 : 10,814.30 = 2,823.93 : x
  2. Step 2: Convert to fraction form
    7,209.54/10,814.30 = 2,823.93/x
  3. Step 3: Cross multiply
    7,209.54x = 10,814.30 × 2,823.93
  4. Step 4: Simplify right side
    7,209.54x = 30,538,839.12
  5. Step 5: Solve for x
    x = 30,538,839.12/7,209.54
  6. Step 6: Final answer
    x = 4,235.89

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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.