Home / 4,176-6,263.24-1,543.10

Finding the Fourth Proportional to 4,176, 6,263.24 and 1,543.10

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Solution

The fourth proportional to 4,176, 6,263.24 and 1,543.10 is: 2,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176 : 6,263.24 = 1,543.10 : x
  2. Step 2: Convert to fraction form
    4,176/6,263.24 = 1,543.10/x
  3. Step 3: Cross multiply
    4,176x = 6,263.24 × 1,543.10
  4. Step 4: Simplify right side
    4,176x = 9,664,766.61
  5. Step 5: Solve for x
    x = 9,664,766.61/4,176
  6. Step 6: Final answer
    x = 2,314.36

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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.