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Finding the Fourth Proportional to 6,454.70, 9,660.45 and 4,510.70

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Solution

The fourth proportional to 6,454.70, 9,660.45 and 4,510.70 is: 6,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.70 : 9,660.45 = 4,510.70 : x
  2. Step 2: Convert to fraction form
    6,454.70/9,660.45 = 4,510.70/x
  3. Step 3: Cross multiply
    6,454.70x = 9,660.45 × 4,510.70
  4. Step 4: Simplify right side
    6,454.70x = 43,575,391.82
  5. Step 5: Solve for x
    x = 43,575,391.82/6,454.70
  6. Step 6: Final answer
    x = 6,750.96

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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.