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Finding the Fourth Proportional to 5,965.47, 8,233.11 and 3,607.63

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Solution

The fourth proportional to 5,965.47, 8,233.11 and 3,607.63 is: 4,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.47 : 8,233.11 = 3,607.63 : x
  2. Step 2: Convert to fraction form
    5,965.47/8,233.11 = 3,607.63/x
  3. Step 3: Cross multiply
    5,965.47x = 8,233.11 × 3,607.63
  4. Step 4: Simplify right side
    5,965.47x = 29,702,014.63
  5. Step 5: Solve for x
    x = 29,702,014.63/5,965.47
  6. Step 6: Final answer
    x = 4,978.99

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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.