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Finding the Fourth Proportional to 8,278.56, 11,424 and 4,740.96

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Solution

The fourth proportional to 8,278.56, 11,424 and 4,740.96 is: 6,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.56 : 11,424 = 4,740.96 : x
  2. Step 2: Convert to fraction form
    8,278.56/11,424 = 4,740.96/x
  3. Step 3: Cross multiply
    8,278.56x = 11,424 × 4,740.96
  4. Step 4: Simplify right side
    8,278.56x = 54,160,727.04
  5. Step 5: Solve for x
    x = 54,160,727.04/8,278.56
  6. Step 6: Final answer
    x = 6,542.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.