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Finding the Fourth Proportional to 4,923.28, 7,346.82 and 4,397.64

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Solution

The fourth proportional to 4,923.28, 7,346.82 and 4,397.64 is: 6,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.28 : 7,346.82 = 4,397.64 : x
  2. Step 2: Convert to fraction form
    4,923.28/7,346.82 = 4,397.64/x
  3. Step 3: Cross multiply
    4,923.28x = 7,346.82 × 4,397.64
  4. Step 4: Simplify right side
    4,923.28x = 32,308,669.50
  5. Step 5: Solve for x
    x = 32,308,669.50/4,923.28
  6. Step 6: Final answer
    x = 6,562.43

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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.