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Finding the Fourth Proportional to 6,902.76, 10,354.10 and 1,708.64

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Solution

The fourth proportional to 6,902.76, 10,354.10 and 1,708.64 is: 2,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.76 : 10,354.10 = 1,708.64 : x
  2. Step 2: Convert to fraction form
    6,902.76/10,354.10 = 1,708.64/x
  3. Step 3: Cross multiply
    6,902.76x = 10,354.10 × 1,708.64
  4. Step 4: Simplify right side
    6,902.76x = 17,691,429.42
  5. Step 5: Solve for x
    x = 17,691,429.42/6,902.76
  6. Step 6: Final answer
    x = 2,562.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.