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Finding the Fourth Proportional to 9,390.78, 12,958.11 and 5,199.06

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Solution

The fourth proportional to 9,390.78, 12,958.11 and 5,199.06 is: 7,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.78 : 12,958.11 = 5,199.06 : x
  2. Step 2: Convert to fraction form
    9,390.78/12,958.11 = 5,199.06/x
  3. Step 3: Cross multiply
    9,390.78x = 12,958.11 × 5,199.06
  4. Step 4: Simplify right side
    9,390.78x = 67,369,991.38
  5. Step 5: Solve for x
    x = 67,369,991.38/9,390.78
  6. Step 6: Final answer
    x = 7,174.06

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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.