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Finding the Fourth Proportional to 9,910.45, 13,676.01 and 5,929.21

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Solution

The fourth proportional to 9,910.45, 13,676.01 and 5,929.21 is: 8,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.45 : 13,676.01 = 5,929.21 : x
  2. Step 2: Convert to fraction form
    9,910.45/13,676.01 = 5,929.21/x
  3. Step 3: Cross multiply
    9,910.45x = 13,676.01 × 5,929.21
  4. Step 4: Simplify right side
    9,910.45x = 81,087,935.25
  5. Step 5: Solve for x
    x = 81,087,935.25/9,910.45
  6. Step 6: Final answer
    x = 8,182.06

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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.