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Finding the Fourth Proportional to 6,569.54, 9,857.02 and 3,644.36

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Solution

The fourth proportional to 6,569.54, 9,857.02 and 3,644.36 is: 5,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.54 : 9,857.02 = 3,644.36 : x
  2. Step 2: Convert to fraction form
    6,569.54/9,857.02 = 3,644.36/x
  3. Step 3: Cross multiply
    6,569.54x = 9,857.02 × 3,644.36
  4. Step 4: Simplify right side
    6,569.54x = 35,922,529.41
  5. Step 5: Solve for x
    x = 35,922,529.41/6,569.54
  6. Step 6: Final answer
    x = 5,468.04

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1.5x scale

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.