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Finding the Fourth Proportional to 6,902.80, 9,529.40 and 4,676.40

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Solution

The fourth proportional to 6,902.80, 9,529.40 and 4,676.40 is: 6,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.80 : 9,529.40 = 4,676.40 : x
  2. Step 2: Convert to fraction form
    6,902.80/9,529.40 = 4,676.40/x
  3. Step 3: Cross multiply
    6,902.80x = 9,529.40 × 4,676.40
  4. Step 4: Simplify right side
    6,902.80x = 44,563,286.16
  5. Step 5: Solve for x
    x = 44,563,286.16/6,902.80
  6. Step 6: Final answer
    x = 6,455.83

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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.