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Finding the Fourth Proportional to 5,475.41, 8,161.09 and 5,164.06

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Solution

The fourth proportional to 5,475.41, 8,161.09 and 5,164.06 is: 7,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.41 : 8,161.09 = 5,164.06 : x
  2. Step 2: Convert to fraction form
    5,475.41/8,161.09 = 5,164.06/x
  3. Step 3: Cross multiply
    5,475.41x = 8,161.09 × 5,164.06
  4. Step 4: Simplify right side
    5,475.41x = 42,144,358.43
  5. Step 5: Solve for x
    x = 42,144,358.43/5,475.41
  6. Step 6: Final answer
    x = 7,697.02

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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.