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Finding the Fourth Proportional to 6,420.50, 9,631.14 and 1,803.86

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Solution

The fourth proportional to 6,420.50, 9,631.14 and 1,803.86 is: 2,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.50 : 9,631.14 = 1,803.86 : x
  2. Step 2: Convert to fraction form
    6,420.50/9,631.14 = 1,803.86/x
  3. Step 3: Cross multiply
    6,420.50x = 9,631.14 × 1,803.86
  4. Step 4: Simplify right side
    6,420.50x = 17,373,228.20
  5. Step 5: Solve for x
    x = 17,373,228.20/6,420.50
  6. Step 6: Final answer
    x = 2,705.90

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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.