Home / 6,102.56-8,421.84-3,414.08

Finding the Fourth Proportional to 6,102.56, 8,421.84 and 3,414.08

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Solution

The fourth proportional to 6,102.56, 8,421.84 and 3,414.08 is: 4,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.56 : 8,421.84 = 3,414.08 : x
  2. Step 2: Convert to fraction form
    6,102.56/8,421.84 = 3,414.08/x
  3. Step 3: Cross multiply
    6,102.56x = 8,421.84 × 3,414.08
  4. Step 4: Simplify right side
    6,102.56x = 28,752,835.51
  5. Step 5: Solve for x
    x = 28,752,835.51/6,102.56
  6. Step 6: Final answer
    x = 4,711.60

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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.