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Finding the Fourth Proportional to 7,162.84, 9,884.96 and 4,178.20

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Solution

The fourth proportional to 7,162.84, 9,884.96 and 4,178.20 is: 5,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.84 : 9,884.96 = 4,178.20 : x
  2. Step 2: Convert to fraction form
    7,162.84/9,884.96 = 4,178.20/x
  3. Step 3: Cross multiply
    7,162.84x = 9,884.96 × 4,178.20
  4. Step 4: Simplify right side
    7,162.84x = 41,301,339.87
  5. Step 5: Solve for x
    x = 41,301,339.87/7,162.84
  6. Step 6: Final answer
    x = 5,766.06

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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.