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Finding the Fourth Proportional to 7,684.60, 10,604.46 and 4,327.54

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Solution

The fourth proportional to 7,684.60, 10,604.46 and 4,327.54 is: 5,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.60 : 10,604.46 = 4,327.54 : x
  2. Step 2: Convert to fraction form
    7,684.60/10,604.46 = 4,327.54/x
  3. Step 3: Cross multiply
    7,684.60x = 10,604.46 × 4,327.54
  4. Step 4: Simplify right side
    7,684.60x = 45,891,224.83
  5. Step 5: Solve for x
    x = 45,891,224.83/7,684.60
  6. Step 6: Final answer
    x = 5,971.84

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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.