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Finding the Fourth Proportional to 6,079.50, 9,119.25 and 1,462.50

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Solution

The fourth proportional to 6,079.50, 9,119.25 and 1,462.50 is: 2,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,079.50 : 9,119.25 = 1,462.50 : x
  2. Step 2: Convert to fraction form
    6,079.50/9,119.25 = 1,462.50/x
  3. Step 3: Cross multiply
    6,079.50x = 9,119.25 × 1,462.50
  4. Step 4: Simplify right side
    6,079.50x = 13,336,903.13
  5. Step 5: Solve for x
    x = 13,336,903.13/6,079.50
  6. Step 6: Final answer
    x = 2,193.75

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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.