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Finding the Fourth Proportional to 8,546.40, 11,794.80 and 5,007.84

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Solution

The fourth proportional to 8,546.40, 11,794.80 and 5,007.84 is: 6,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.40 : 11,794.80 = 5,007.84 : x
  2. Step 2: Convert to fraction form
    8,546.40/11,794.80 = 5,007.84/x
  3. Step 3: Cross multiply
    8,546.40x = 11,794.80 × 5,007.84
  4. Step 4: Simplify right side
    8,546.40x = 59,066,471.23
  5. Step 5: Solve for x
    x = 59,066,471.23/8,546.40
  6. Step 6: Final answer
    x = 6,911.27

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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.