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Finding the Fourth Proportional to 6,165.60, 9,250.02 and 1,782.96

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Solution

The fourth proportional to 6,165.60, 9,250.02 and 1,782.96 is: 2,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.60 : 9,250.02 = 1,782.96 : x
  2. Step 2: Convert to fraction form
    6,165.60/9,250.02 = 1,782.96/x
  3. Step 3: Cross multiply
    6,165.60x = 9,250.02 × 1,782.96
  4. Step 4: Simplify right side
    6,165.60x = 16,492,415.66
  5. Step 5: Solve for x
    x = 16,492,415.66/6,165.60
  6. Step 6: Final answer
    x = 2,674.91

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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.