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Finding the Fourth Proportional to 10,645.84, 14,691.12 and 5,930.08

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Solution

The fourth proportional to 10,645.84, 14,691.12 and 5,930.08 is: 8,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.84 : 14,691.12 = 5,930.08 : x
  2. Step 2: Convert to fraction form
    10,645.84/14,691.12 = 5,930.08/x
  3. Step 3: Cross multiply
    10,645.84x = 14,691.12 × 5,930.08
  4. Step 4: Simplify right side
    10,645.84x = 87,119,516.89
  5. Step 5: Solve for x
    x = 87,119,516.89/10,645.84
  6. Step 6: Final answer
    x = 8,183.43

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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.