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Finding the Fourth Proportional to 6,510.87, 9,766.04 and 1,830.60

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Solution

The fourth proportional to 6,510.87, 9,766.04 and 1,830.60 is: 2,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.87 : 9,766.04 = 1,830.60 : x
  2. Step 2: Convert to fraction form
    6,510.87/9,766.04 = 1,830.60/x
  3. Step 3: Cross multiply
    6,510.87x = 9,766.04 × 1,830.60
  4. Step 4: Simplify right side
    6,510.87x = 17,877,703.67
  5. Step 5: Solve for x
    x = 17,877,703.67/6,510.87
  6. Step 6: Final answer
    x = 2,745.82

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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.