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Finding the Fourth Proportional to 6,423.16, 9,571.28 and 5,769.12

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Solution

The fourth proportional to 6,423.16, 9,571.28 and 5,769.12 is: 8,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.16 : 9,571.28 = 5,769.12 : x
  2. Step 2: Convert to fraction form
    6,423.16/9,571.28 = 5,769.12/x
  3. Step 3: Cross multiply
    6,423.16x = 9,571.28 × 5,769.12
  4. Step 4: Simplify right side
    6,423.16x = 55,217,862.87
  5. Step 5: Solve for x
    x = 55,217,862.87/6,423.16
  6. Step 6: Final answer
    x = 8,596.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.