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Finding the Fourth Proportional to 6,646.89, 9,970.09 and 3,135.60

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Solution

The fourth proportional to 6,646.89, 9,970.09 and 3,135.60 is: 4,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.89 : 9,970.09 = 3,135.60 : x
  2. Step 2: Convert to fraction form
    6,646.89/9,970.09 = 3,135.60/x
  3. Step 3: Cross multiply
    6,646.89x = 9,970.09 × 3,135.60
  4. Step 4: Simplify right side
    6,646.89x = 31,262,239.13
  5. Step 5: Solve for x
    x = 31,262,239.13/6,646.89
  6. Step 6: Final answer
    x = 4,703.29

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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.