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Finding the Fourth Proportional to 9,794.80, 14,682.60 and 5,117.20

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Solution

The fourth proportional to 9,794.80, 14,682.60 and 5,117.20 is: 7,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.80 : 14,682.60 = 5,117.20 : x
  2. Step 2: Convert to fraction form
    9,794.80/14,682.60 = 5,117.20/x
  3. Step 3: Cross multiply
    9,794.80x = 14,682.60 × 5,117.20
  4. Step 4: Simplify right side
    9,794.80x = 75,133,800.72
  5. Step 5: Solve for x
    x = 75,133,800.72/9,794.80
  6. Step 6: Final answer
    x = 7,670.78

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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.