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Finding the Fourth Proportional to 6,651.90, 9,977.68 and 5,773

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Solution

The fourth proportional to 6,651.90, 9,977.68 and 5,773 is: 8,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.90 : 9,977.68 = 5,773 : x
  2. Step 2: Convert to fraction form
    6,651.90/9,977.68 = 5,773/x
  3. Step 3: Cross multiply
    6,651.90x = 9,977.68 × 5,773
  4. Step 4: Simplify right side
    6,651.90x = 57,601,146.64
  5. Step 5: Solve for x
    x = 57,601,146.64/6,651.90
  6. Step 6: Final answer
    x = 8,659.35

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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.