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Finding the Fourth Proportional to 6,509.64, 9,765.90 and 3,045

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Solution

The fourth proportional to 6,509.64, 9,765.90 and 3,045 is: 4,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.64 : 9,765.90 = 3,045 : x
  2. Step 2: Convert to fraction form
    6,509.64/9,765.90 = 3,045/x
  3. Step 3: Cross multiply
    6,509.64x = 9,765.90 × 3,045
  4. Step 4: Simplify right side
    6,509.64x = 29,737,165.50
  5. Step 5: Solve for x
    x = 29,737,165.50/6,509.64
  6. Step 6: Final answer
    x = 4,568.17

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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.