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Finding the Fourth Proportional to 6,527.64, 9,789.60 and 1,847.34

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Solution

The fourth proportional to 6,527.64, 9,789.60 and 1,847.34 is: 2,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.64 : 9,789.60 = 1,847.34 : x
  2. Step 2: Convert to fraction form
    6,527.64/9,789.60 = 1,847.34/x
  3. Step 3: Cross multiply
    6,527.64x = 9,789.60 × 1,847.34
  4. Step 4: Simplify right side
    6,527.64x = 18,084,719.66
  5. Step 5: Solve for x
    x = 18,084,719.66/6,527.64
  6. Step 6: Final answer
    x = 2,770.48

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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.