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Finding the Fourth Proportional to 7,684.35, 10,604.97 and 4,327.53

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Solution

The fourth proportional to 7,684.35, 10,604.97 and 4,327.53 is: 5,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.35 : 10,604.97 = 4,327.53 : x
  2. Step 2: Convert to fraction form
    7,684.35/10,604.97 = 4,327.53/x
  3. Step 3: Cross multiply
    7,684.35x = 10,604.97 × 4,327.53
  4. Step 4: Simplify right side
    7,684.35x = 45,893,325.82
  5. Step 5: Solve for x
    x = 45,893,325.82/7,684.35
  6. Step 6: Final answer
    x = 5,972.31

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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.