Home / 5,104.24-7,656.58-1,406.38

Finding the Fourth Proportional to 5,104.24, 7,656.58 and 1,406.38

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Solution

The fourth proportional to 5,104.24, 7,656.58 and 1,406.38 is: 2,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.24 : 7,656.58 = 1,406.38 : x
  2. Step 2: Convert to fraction form
    5,104.24/7,656.58 = 1,406.38/x
  3. Step 3: Cross multiply
    5,104.24x = 7,656.58 × 1,406.38
  4. Step 4: Simplify right side
    5,104.24x = 10,768,060.98
  5. Step 5: Solve for x
    x = 10,768,060.98/5,104.24
  6. Step 6: Final answer
    x = 2,109.63

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1.5x scale

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.