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Finding the Fourth Proportional to 6,471.76, 9,704.76 and 3,010

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Solution

The fourth proportional to 6,471.76, 9,704.76 and 3,010 is: 4,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.76 : 9,704.76 = 3,010 : x
  2. Step 2: Convert to fraction form
    6,471.76/9,704.76 = 3,010/x
  3. Step 3: Cross multiply
    6,471.76x = 9,704.76 × 3,010
  4. Step 4: Simplify right side
    6,471.76x = 29,211,327.60
  5. Step 5: Solve for x
    x = 29,211,327.60/6,471.76
  6. Step 6: Final answer
    x = 4,513.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.