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Finding the Fourth Proportional to 6,520.12, 9,779.50 and 1,840

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Solution

The fourth proportional to 6,520.12, 9,779.50 and 1,840 is: 2,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.12 : 9,779.50 = 1,840 : x
  2. Step 2: Convert to fraction form
    6,520.12/9,779.50 = 1,840/x
  3. Step 3: Cross multiply
    6,520.12x = 9,779.50 × 1,840
  4. Step 4: Simplify right side
    6,520.12x = 17,994,280
  5. Step 5: Solve for x
    x = 17,994,280/6,520.12
  6. Step 6: Final answer
    x = 2,759.81

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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.