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Finding the Fourth Proportional to 6,553.22, 9,829.77 and 2,656.70

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Solution

The fourth proportional to 6,553.22, 9,829.77 and 2,656.70 is: 3,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.22 : 9,829.77 = 2,656.70 : x
  2. Step 2: Convert to fraction form
    6,553.22/9,829.77 = 2,656.70/x
  3. Step 3: Cross multiply
    6,553.22x = 9,829.77 × 2,656.70
  4. Step 4: Simplify right side
    6,553.22x = 26,114,784.50
  5. Step 5: Solve for x
    x = 26,114,784.50/6,553.22
  6. Step 6: Final answer
    x = 3,985.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.