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Finding the Fourth Proportional to 9,859.93, 14,794.22 and 5,178.86

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Solution

The fourth proportional to 9,859.93, 14,794.22 and 5,178.86 is: 7,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.93 : 14,794.22 = 5,178.86 : x
  2. Step 2: Convert to fraction form
    9,859.93/14,794.22 = 5,178.86/x
  3. Step 3: Cross multiply
    9,859.93x = 14,794.22 × 5,178.86
  4. Step 4: Simplify right side
    9,859.93x = 76,617,188.64
  5. Step 5: Solve for x
    x = 76,617,188.64/9,859.93
  6. Step 6: Final answer
    x = 7,770.56

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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.