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Finding the Fourth Proportional to 9,338.01, 14,006.62 and 3,789.84

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Solution

The fourth proportional to 9,338.01, 14,006.62 and 3,789.84 is: 5,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.01 : 14,006.62 = 3,789.84 : x
  2. Step 2: Convert to fraction form
    9,338.01/14,006.62 = 3,789.84/x
  3. Step 3: Cross multiply
    9,338.01x = 14,006.62 × 3,789.84
  4. Step 4: Simplify right side
    9,338.01x = 53,082,848.74
  5. Step 5: Solve for x
    x = 53,082,848.74/9,338.01
  6. Step 6: Final answer
    x = 5,684.60

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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.