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Finding the Fourth Proportional to 6,681.90, 10,017.51 and 3,170.14

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Solution

The fourth proportional to 6,681.90, 10,017.51 and 3,170.14 is: 4,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.90 : 10,017.51 = 3,170.14 : x
  2. Step 2: Convert to fraction form
    6,681.90/10,017.51 = 3,170.14/x
  3. Step 3: Cross multiply
    6,681.90x = 10,017.51 × 3,170.14
  4. Step 4: Simplify right side
    6,681.90x = 31,756,909.15
  5. Step 5: Solve for x
    x = 31,756,909.15/6,681.90
  6. Step 6: Final answer
    x = 4,752.68

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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.