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Finding the Fourth Proportional to 6,395.34, 9,594.22 and 2,499.50

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Solution

The fourth proportional to 6,395.34, 9,594.22 and 2,499.50 is: 3,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.34 : 9,594.22 = 2,499.50 : x
  2. Step 2: Convert to fraction form
    6,395.34/9,594.22 = 2,499.50/x
  3. Step 3: Cross multiply
    6,395.34x = 9,594.22 × 2,499.50
  4. Step 4: Simplify right side
    6,395.34x = 23,980,752.89
  5. Step 5: Solve for x
    x = 23,980,752.89/6,395.34
  6. Step 6: Final answer
    x = 3,749.72

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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.