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Finding the Fourth Proportional to 7,960.31, 10,984.01 and 4,602.49

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Solution

The fourth proportional to 7,960.31, 10,984.01 and 4,602.49 is: 6,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.31 : 10,984.01 = 4,602.49 : x
  2. Step 2: Convert to fraction form
    7,960.31/10,984.01 = 4,602.49/x
  3. Step 3: Cross multiply
    7,960.31x = 10,984.01 × 4,602.49
  4. Step 4: Simplify right side
    7,960.31x = 50,553,745.71
  5. Step 5: Solve for x
    x = 50,553,745.71/7,960.31
  6. Step 6: Final answer
    x = 6,350.73

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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.