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Finding the Fourth Proportional to 6,710, 9,259.62 and 3,725.96

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Solution

The fourth proportional to 6,710, 9,259.62 and 3,725.96 is: 5,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710 : 9,259.62 = 3,725.96 : x
  2. Step 2: Convert to fraction form
    6,710/9,259.62 = 3,725.96/x
  3. Step 3: Cross multiply
    6,710x = 9,259.62 × 3,725.96
  4. Step 4: Simplify right side
    6,710x = 34,500,973.74
  5. Step 5: Solve for x
    x = 34,500,973.74/6,710
  6. Step 6: Final answer
    x = 5,141.72

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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.