Home / 7,738.84-10,679.48-4,202

Finding the Fourth Proportional to 7,738.84, 10,679.48 and 4,202

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Solution

The fourth proportional to 7,738.84, 10,679.48 and 4,202 is: 5,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.84 : 10,679.48 = 4,202 : x
  2. Step 2: Convert to fraction form
    7,738.84/10,679.48 = 4,202/x
  3. Step 3: Cross multiply
    7,738.84x = 10,679.48 × 4,202
  4. Step 4: Simplify right side
    7,738.84x = 44,875,174.96
  5. Step 5: Solve for x
    x = 44,875,174.96/7,738.84
  6. Step 6: Final answer
    x = 5,798.70

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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.