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Finding the Fourth Proportional to 4,959.40, 6,837.84 and 4,165.84

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Solution

The fourth proportional to 4,959.40, 6,837.84 and 4,165.84 is: 5,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.40 : 6,837.84 = 4,165.84 : x
  2. Step 2: Convert to fraction form
    4,959.40/6,837.84 = 4,165.84/x
  3. Step 3: Cross multiply
    4,959.40x = 6,837.84 × 4,165.84
  4. Step 4: Simplify right side
    4,959.40x = 28,485,347.39
  5. Step 5: Solve for x
    x = 28,485,347.39/4,959.40
  6. Step 6: Final answer
    x = 5,743.71

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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.