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Finding the Fourth Proportional to 11,752.23, 17,622.68 and 6,823.11

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Solution

The fourth proportional to 11,752.23, 17,622.68 and 6,823.11 is: 10,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.23 : 17,622.68 = 6,823.11 : x
  2. Step 2: Convert to fraction form
    11,752.23/17,622.68 = 6,823.11/x
  3. Step 3: Cross multiply
    11,752.23x = 17,622.68 × 6,823.11
  4. Step 4: Simplify right side
    11,752.23x = 120,241,484.13
  5. Step 5: Solve for x
    x = 120,241,484.13/11,752.23
  6. Step 6: Final answer
    x = 10,231.38

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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.