Home / 4,206.24-6,309-1,432.56

Finding the Fourth Proportional to 4,206.24, 6,309 and 1,432.56

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Solution

The fourth proportional to 4,206.24, 6,309 and 1,432.56 is: 2,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.24 : 6,309 = 1,432.56 : x
  2. Step 2: Convert to fraction form
    4,206.24/6,309 = 1,432.56/x
  3. Step 3: Cross multiply
    4,206.24x = 6,309 × 1,432.56
  4. Step 4: Simplify right side
    4,206.24x = 9,038,021.04
  5. Step 5: Solve for x
    x = 9,038,021.04/4,206.24
  6. Step 6: Final answer
    x = 2,148.72

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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.