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Finding the Fourth Proportional to 10,633.48, 15,964.94 and 7,338.44

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Solution

The fourth proportional to 10,633.48, 15,964.94 and 7,338.44 is: 11,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.48 : 15,964.94 = 7,338.44 : x
  2. Step 2: Convert to fraction form
    10,633.48/15,964.94 = 7,338.44/x
  3. Step 3: Cross multiply
    10,633.48x = 15,964.94 × 7,338.44
  4. Step 4: Simplify right side
    10,633.48x = 117,157,754.29
  5. Step 5: Solve for x
    x = 117,157,754.29/10,633.48
  6. Step 6: Final answer
    x = 11,017.82

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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.