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Finding the Fourth Proportional to 6,420.07, 9,630.60 and 2,037.57

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Solution

The fourth proportional to 6,420.07, 9,630.60 and 2,037.57 is: 3,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.07 : 9,630.60 = 2,037.57 : x
  2. Step 2: Convert to fraction form
    6,420.07/9,630.60 = 2,037.57/x
  3. Step 3: Cross multiply
    6,420.07x = 9,630.60 × 2,037.57
  4. Step 4: Simplify right side
    6,420.07x = 19,622,973.49
  5. Step 5: Solve for x
    x = 19,622,973.49/6,420.07
  6. Step 6: Final answer
    x = 3,056.50

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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.