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Finding the Fourth Proportional to 6,073.32, 9,113.50 and 2,563.10

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Solution

The fourth proportional to 6,073.32, 9,113.50 and 2,563.10 is: 3,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.32 : 9,113.50 = 2,563.10 : x
  2. Step 2: Convert to fraction form
    6,073.32/9,113.50 = 2,563.10/x
  3. Step 3: Cross multiply
    6,073.32x = 9,113.50 × 2,563.10
  4. Step 4: Simplify right side
    6,073.32x = 23,358,811.85
  5. Step 5: Solve for x
    x = 23,358,811.85/6,073.32
  6. Step 6: Final answer
    x = 3,846.14

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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.