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Finding the Fourth Proportional to 6,569, 9,857.10 and 6,520.04

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Solution

The fourth proportional to 6,569, 9,857.10 and 6,520.04 is: 9,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569 : 9,857.10 = 6,520.04 : x
  2. Step 2: Convert to fraction form
    6,569/9,857.10 = 6,520.04/x
  3. Step 3: Cross multiply
    6,569x = 9,857.10 × 6,520.04
  4. Step 4: Simplify right side
    6,569x = 64,268,686.28
  5. Step 5: Solve for x
    x = 64,268,686.28/6,569
  6. Step 6: Final answer
    x = 9,783.63

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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.