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Finding the Fourth Proportional to 10,964.23, 16,420.24 and 7,003.22

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Solution

The fourth proportional to 10,964.23, 16,420.24 and 7,003.22 is: 10,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.23 : 16,420.24 = 7,003.22 : x
  2. Step 2: Convert to fraction form
    10,964.23/16,420.24 = 7,003.22/x
  3. Step 3: Cross multiply
    10,964.23x = 16,420.24 × 7,003.22
  4. Step 4: Simplify right side
    10,964.23x = 114,994,553.17
  5. Step 5: Solve for x
    x = 114,994,553.17/10,964.23
  6. Step 6: Final answer
    x = 10,488.15

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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.