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Finding the Fourth Proportional to 6,730.40, 10,103.70 and 6,681.80

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Solution

The fourth proportional to 6,730.40, 10,103.70 and 6,681.80 is: 10,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.40 : 10,103.70 = 6,681.80 : x
  2. Step 2: Convert to fraction form
    6,730.40/10,103.70 = 6,681.80/x
  3. Step 3: Cross multiply
    6,730.40x = 10,103.70 × 6,681.80
  4. Step 4: Simplify right side
    6,730.40x = 67,510,902.66
  5. Step 5: Solve for x
    x = 67,510,902.66/6,730.40
  6. Step 6: Final answer
    x = 10,030.74

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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.