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Finding the Fourth Proportional to 4,344.28, 6,509.94 and 4,020.28

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Solution

The fourth proportional to 4,344.28, 6,509.94 and 4,020.28 is: 6,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.28 : 6,509.94 = 4,020.28 : x
  2. Step 2: Convert to fraction form
    4,344.28/6,509.94 = 4,020.28/x
  3. Step 3: Cross multiply
    4,344.28x = 6,509.94 × 4,020.28
  4. Step 4: Simplify right side
    4,344.28x = 26,171,781.58
  5. Step 5: Solve for x
    x = 26,171,781.58/4,344.28
  6. Step 6: Final answer
    x = 6,024.42

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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.