Home / 6,502-8,972.88-4,642.24

Finding the Fourth Proportional to 6,502, 8,972.88 and 4,642.24

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Solution

The fourth proportional to 6,502, 8,972.88 and 4,642.24 is: 6,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502 : 8,972.88 = 4,642.24 : x
  2. Step 2: Convert to fraction form
    6,502/8,972.88 = 4,642.24/x
  3. Step 3: Cross multiply
    6,502x = 8,972.88 × 4,642.24
  4. Step 4: Simplify right side
    6,502x = 41,654,262.45
  5. Step 5: Solve for x
    x = 41,654,262.45/6,502
  6. Step 6: Final answer
    x = 6,406.38

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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.