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Finding the Fourth Proportional to 7,794.35, 11,744.12 and 6,438.06

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Solution

The fourth proportional to 7,794.35, 11,744.12 and 6,438.06 is: 9,700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.35 : 11,744.12 = 6,438.06 : x
  2. Step 2: Convert to fraction form
    7,794.35/11,744.12 = 6,438.06/x
  3. Step 3: Cross multiply
    7,794.35x = 11,744.12 × 6,438.06
  4. Step 4: Simplify right side
    7,794.35x = 75,609,317.02
  5. Step 5: Solve for x
    x = 75,609,317.02/7,794.35
  6. Step 6: Final answer
    x = 9,700.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.