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Finding the Fourth Proportional to 6,977.40, 10,466.10 and 6,415.80

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Solution

The fourth proportional to 6,977.40, 10,466.10 and 6,415.80 is: 9,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.40 : 10,466.10 = 6,415.80 : x
  2. Step 2: Convert to fraction form
    6,977.40/10,466.10 = 6,415.80/x
  3. Step 3: Cross multiply
    6,977.40x = 10,466.10 × 6,415.80
  4. Step 4: Simplify right side
    6,977.40x = 67,148,404.38
  5. Step 5: Solve for x
    x = 67,148,404.38/6,977.40
  6. Step 6: Final answer
    x = 9,623.70

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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.