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Finding the Fourth Proportional to 6,553.41, 9,830.06 and 2,656.89

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Solution

The fourth proportional to 6,553.41, 9,830.06 and 2,656.89 is: 3,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.41 : 9,830.06 = 2,656.89 : x
  2. Step 2: Convert to fraction form
    6,553.41/9,830.06 = 2,656.89/x
  3. Step 3: Cross multiply
    6,553.41x = 9,830.06 × 2,656.89
  4. Step 4: Simplify right side
    6,553.41x = 26,117,374.83
  5. Step 5: Solve for x
    x = 26,117,374.83/6,553.41
  6. Step 6: Final answer
    x = 3,985.31

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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.