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Finding the Fourth Proportional to 6,372.60, 9,558.86 and 2,477.01

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Solution

The fourth proportional to 6,372.60, 9,558.86 and 2,477.01 is: 3,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.60 : 9,558.86 = 2,477.01 : x
  2. Step 2: Convert to fraction form
    6,372.60/9,558.86 = 2,477.01/x
  3. Step 3: Cross multiply
    6,372.60x = 9,558.86 × 2,477.01
  4. Step 4: Simplify right side
    6,372.60x = 23,677,348.55
  5. Step 5: Solve for x
    x = 23,677,348.55/6,372.60
  6. Step 6: Final answer
    x = 3,715.49

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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.