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Finding the Fourth Proportional to 6,500.80, 9,744.80 and 3,214.40

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Solution

The fourth proportional to 6,500.80, 9,744.80 and 3,214.40 is: 4,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.80 : 9,744.80 = 3,214.40 : x
  2. Step 2: Convert to fraction form
    6,500.80/9,744.80 = 3,214.40/x
  3. Step 3: Cross multiply
    6,500.80x = 9,744.80 × 3,214.40
  4. Step 4: Simplify right side
    6,500.80x = 31,323,685.12
  5. Step 5: Solve for x
    x = 31,323,685.12/6,500.80
  6. Step 6: Final answer
    x = 4,818.44

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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.