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Finding the Fourth Proportional to 6,510.60, 9,758.90 and 2,814.58

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Solution

The fourth proportional to 6,510.60, 9,758.90 and 2,814.58 is: 4,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.60 : 9,758.90 = 2,814.58 : x
  2. Step 2: Convert to fraction form
    6,510.60/9,758.90 = 2,814.58/x
  3. Step 3: Cross multiply
    6,510.60x = 9,758.90 × 2,814.58
  4. Step 4: Simplify right side
    6,510.60x = 27,467,204.76
  5. Step 5: Solve for x
    x = 27,467,204.76/6,510.60
  6. Step 6: Final answer
    x = 4,218.84

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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.