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Finding the Fourth Proportional to 6,569.37, 9,063.36 and 5,057.40

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Solution

The fourth proportional to 6,569.37, 9,063.36 and 5,057.40 is: 6,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.37 : 9,063.36 = 5,057.40 : x
  2. Step 2: Convert to fraction form
    6,569.37/9,063.36 = 5,057.40/x
  3. Step 3: Cross multiply
    6,569.37x = 9,063.36 × 5,057.40
  4. Step 4: Simplify right side
    6,569.37x = 45,836,991.55
  5. Step 5: Solve for x
    x = 45,836,991.55/6,569.37
  6. Step 6: Final answer
    x = 6,977.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.