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Finding the Fourth Proportional to 6,500.79, 9,744.30 and 3,209.76

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Solution

The fourth proportional to 6,500.79, 9,744.30 and 3,209.76 is: 4,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.79 : 9,744.30 = 3,209.76 : x
  2. Step 2: Convert to fraction form
    6,500.79/9,744.30 = 3,209.76/x
  3. Step 3: Cross multiply
    6,500.79x = 9,744.30 × 3,209.76
  4. Step 4: Simplify right side
    6,500.79x = 31,276,864.37
  5. Step 5: Solve for x
    x = 31,276,864.37/6,500.79
  6. Step 6: Final answer
    x = 4,811.24

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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.