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Finding the Fourth Proportional to 6,750.46, 9,311.74 and 4,059.81

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Solution

The fourth proportional to 6,750.46, 9,311.74 and 4,059.81 is: 5,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.46 : 9,311.74 = 4,059.81 : x
  2. Step 2: Convert to fraction form
    6,750.46/9,311.74 = 4,059.81/x
  3. Step 3: Cross multiply
    6,750.46x = 9,311.74 × 4,059.81
  4. Step 4: Simplify right side
    6,750.46x = 37,803,895.17
  5. Step 5: Solve for x
    x = 37,803,895.17/6,750.46
  6. Step 6: Final answer
    x = 5,600.20

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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.