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Finding the Fourth Proportional to 6,878.20, 10,302.90 and 6,148.60

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Solution

The fourth proportional to 6,878.20, 10,302.90 and 6,148.60 is: 9,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.20 : 10,302.90 = 6,148.60 : x
  2. Step 2: Convert to fraction form
    6,878.20/10,302.90 = 6,148.60/x
  3. Step 3: Cross multiply
    6,878.20x = 10,302.90 × 6,148.60
  4. Step 4: Simplify right side
    6,878.20x = 63,348,410.94
  5. Step 5: Solve for x
    x = 63,348,410.94/6,878.20
  6. Step 6: Final answer
    x = 9,210.03

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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.