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Finding the Fourth Proportional to 6,356, 9,534.66 and 1,739

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Solution

The fourth proportional to 6,356, 9,534.66 and 1,739 is: 2,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356 : 9,534.66 = 1,739 : x
  2. Step 2: Convert to fraction form
    6,356/9,534.66 = 1,739/x
  3. Step 3: Cross multiply
    6,356x = 9,534.66 × 1,739
  4. Step 4: Simplify right side
    6,356x = 16,580,773.74
  5. Step 5: Solve for x
    x = 16,580,773.74/6,356
  6. Step 6: Final answer
    x = 2,608.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.