Home / 4,654.76-6,983-1,534.98

Finding the Fourth Proportional to 4,654.76, 6,983 and 1,534.98

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Solution

The fourth proportional to 4,654.76, 6,983 and 1,534.98 is: 2,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.76 : 6,983 = 1,534.98 : x
  2. Step 2: Convert to fraction form
    4,654.76/6,983 = 1,534.98/x
  3. Step 3: Cross multiply
    4,654.76x = 6,983 × 1,534.98
  4. Step 4: Simplify right side
    4,654.76x = 10,718,765.34
  5. Step 5: Solve for x
    x = 10,718,765.34/4,654.76
  6. Step 6: Final answer
    x = 2,302.75

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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.