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Finding the Fourth Proportional to 6,571.33, 9,022.64 and 6,400.08

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Solution

The fourth proportional to 6,571.33, 9,022.64 and 6,400.08 is: 8,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.33 : 9,022.64 = 6,400.08 : x
  2. Step 2: Convert to fraction form
    6,571.33/9,022.64 = 6,400.08/x
  3. Step 3: Cross multiply
    6,571.33x = 9,022.64 × 6,400.08
  4. Step 4: Simplify right side
    6,571.33x = 57,745,585.81
  5. Step 5: Solve for x
    x = 57,745,585.81/6,571.33
  6. Step 6: Final answer
    x = 8,787.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.