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Finding the Fourth Proportional to 6,646.48, 9,968.10 and 2,752

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Solution

The fourth proportional to 6,646.48, 9,968.10 and 2,752 is: 4,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.48 : 9,968.10 = 2,752 : x
  2. Step 2: Convert to fraction form
    6,646.48/9,968.10 = 2,752/x
  3. Step 3: Cross multiply
    6,646.48x = 9,968.10 × 2,752
  4. Step 4: Simplify right side
    6,646.48x = 27,432,211.20
  5. Step 5: Solve for x
    x = 27,432,211.20/6,646.48
  6. Step 6: Final answer
    x = 4,127.33

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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.