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Finding the Fourth Proportional to 7,821.24, 11,732.04 and 2,892.24

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Solution

The fourth proportional to 7,821.24, 11,732.04 and 2,892.24 is: 4,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.24 : 11,732.04 = 2,892.24 : x
  2. Step 2: Convert to fraction form
    7,821.24/11,732.04 = 2,892.24/x
  3. Step 3: Cross multiply
    7,821.24x = 11,732.04 × 2,892.24
  4. Step 4: Simplify right side
    7,821.24x = 33,931,875.37
  5. Step 5: Solve for x
    x = 33,931,875.37/7,821.24
  6. Step 6: Final answer
    x = 4,338.43

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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.