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Finding the Fourth Proportional to 7,884.34, 10,869.08 and 6,202.83

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Solution

The fourth proportional to 7,884.34, 10,869.08 and 6,202.83 is: 8,551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.34 : 10,869.08 = 6,202.83 : x
  2. Step 2: Convert to fraction form
    7,884.34/10,869.08 = 6,202.83/x
  3. Step 3: Cross multiply
    7,884.34x = 10,869.08 × 6,202.83
  4. Step 4: Simplify right side
    7,884.34x = 67,419,055.50
  5. Step 5: Solve for x
    x = 67,419,055.50/7,884.34
  6. Step 6: Final answer
    x = 8,551.01

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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.