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Finding the Fourth Proportional to 4,572.28, 6,822.41 and 4,293.64

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Solution

The fourth proportional to 4,572.28, 6,822.41 and 4,293.64 is: 6,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.28 : 6,822.41 = 4,293.64 : x
  2. Step 2: Convert to fraction form
    4,572.28/6,822.41 = 4,293.64/x
  3. Step 3: Cross multiply
    4,572.28x = 6,822.41 × 4,293.64
  4. Step 4: Simplify right side
    4,572.28x = 29,292,972.47
  5. Step 5: Solve for x
    x = 29,292,972.47/4,572.28
  6. Step 6: Final answer
    x = 6,406.64

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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.