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Finding the Fourth Proportional to 6,959.04, 9,606.24 and 4,164

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Solution

The fourth proportional to 6,959.04, 9,606.24 and 4,164 is: 5,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.04 : 9,606.24 = 4,164 : x
  2. Step 2: Convert to fraction form
    6,959.04/9,606.24 = 4,164/x
  3. Step 3: Cross multiply
    6,959.04x = 9,606.24 × 4,164
  4. Step 4: Simplify right side
    6,959.04x = 40,000,383.36
  5. Step 5: Solve for x
    x = 40,000,383.36/6,959.04
  6. Step 6: Final answer
    x = 5,747.97

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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.