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Finding the Fourth Proportional to 12,553.22, 17,323.53 and 6,964.22

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Solution

The fourth proportional to 12,553.22, 17,323.53 and 6,964.22 is: 9,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.22 : 17,323.53 = 6,964.22 : x
  2. Step 2: Convert to fraction form
    12,553.22/17,323.53 = 6,964.22/x
  3. Step 3: Cross multiply
    12,553.22x = 17,323.53 × 6,964.22
  4. Step 4: Simplify right side
    12,553.22x = 120,644,874.10
  5. Step 5: Solve for x
    x = 120,644,874.10/12,553.22
  6. Step 6: Final answer
    x = 9,610.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.