Home / 7,257.96-10,024.14-4,896

Finding the Fourth Proportional to 7,257.96, 10,024.14 and 4,896

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Solution

The fourth proportional to 7,257.96, 10,024.14 and 4,896 is: 6,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.96 : 10,024.14 = 4,896 : x
  2. Step 2: Convert to fraction form
    7,257.96/10,024.14 = 4,896/x
  3. Step 3: Cross multiply
    7,257.96x = 10,024.14 × 4,896
  4. Step 4: Simplify right side
    7,257.96x = 49,078,189.44
  5. Step 5: Solve for x
    x = 49,078,189.44/7,257.96
  6. Step 6: Final answer
    x = 6,761.98

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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.