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Finding the Fourth Proportional to 7,821.09, 11,732.52 and 7,821.09

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Solution

The fourth proportional to 7,821.09, 11,732.52 and 7,821.09 is: 11,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.09 : 11,732.52 = 7,821.09 : x
  2. Step 2: Convert to fraction form
    7,821.09/11,732.52 = 7,821.09/x
  3. Step 3: Cross multiply
    7,821.09x = 11,732.52 × 7,821.09
  4. Step 4: Simplify right side
    7,821.09x = 91,761,094.85
  5. Step 5: Solve for x
    x = 91,761,094.85/7,821.09
  6. Step 6: Final answer
    x = 11,732.52

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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.