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Finding the Fourth Proportional to 6,529.60, 9,800.80 and 3,246.40

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Solution

The fourth proportional to 6,529.60, 9,800.80 and 3,246.40 is: 4,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.60 : 9,800.80 = 3,246.40 : x
  2. Step 2: Convert to fraction form
    6,529.60/9,800.80 = 3,246.40/x
  3. Step 3: Cross multiply
    6,529.60x = 9,800.80 × 3,246.40
  4. Step 4: Simplify right side
    6,529.60x = 31,817,317.12
  5. Step 5: Solve for x
    x = 31,817,317.12/6,529.60
  6. Step 6: Final answer
    x = 4,872.78

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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.