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Finding the Fourth Proportional to 8,164.73, 11,254.53 and 5,327.10

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Solution

The fourth proportional to 8,164.73, 11,254.53 and 5,327.10 is: 7,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.73 : 11,254.53 = 5,327.10 : x
  2. Step 2: Convert to fraction form
    8,164.73/11,254.53 = 5,327.10/x
  3. Step 3: Cross multiply
    8,164.73x = 11,254.53 × 5,327.10
  4. Step 4: Simplify right side
    8,164.73x = 59,954,006.76
  5. Step 5: Solve for x
    x = 59,954,006.76/8,164.73
  6. Step 6: Final answer
    x = 7,343.05

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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.