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Finding the Fourth Proportional to 11,801.70, 16,284.65 and 7,556.49

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Solution

The fourth proportional to 11,801.70, 16,284.65 and 7,556.49 is: 10,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.70 : 16,284.65 = 7,556.49 : x
  2. Step 2: Convert to fraction form
    11,801.70/16,284.65 = 7,556.49/x
  3. Step 3: Cross multiply
    11,801.70x = 16,284.65 × 7,556.49
  4. Step 4: Simplify right side
    11,801.70x = 123,054,757.10
  5. Step 5: Solve for x
    x = 123,054,757.10/11,801.70
  6. Step 6: Final answer
    x = 10,426.87

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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.