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Finding the Fourth Proportional to 6,623, 9,139.74 and 4,139

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Solution

The fourth proportional to 6,623, 9,139.74 and 4,139 is: 5,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623 : 9,139.74 = 4,139 : x
  2. Step 2: Convert to fraction form
    6,623/9,139.74 = 4,139/x
  3. Step 3: Cross multiply
    6,623x = 9,139.74 × 4,139
  4. Step 4: Simplify right side
    6,623x = 37,829,383.86
  5. Step 5: Solve for x
    x = 37,829,383.86/6,623
  6. Step 6: Final answer
    x = 5,711.82

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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.