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Finding the Fourth Proportional to 6,472.80, 9,707.16 and 2,089.44

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Solution

The fourth proportional to 6,472.80, 9,707.16 and 2,089.44 is: 3,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.80 : 9,707.16 = 2,089.44 : x
  2. Step 2: Convert to fraction form
    6,472.80/9,707.16 = 2,089.44/x
  3. Step 3: Cross multiply
    6,472.80x = 9,707.16 × 2,089.44
  4. Step 4: Simplify right side
    6,472.80x = 20,282,528.39
  5. Step 5: Solve for x
    x = 20,282,528.39/6,472.80
  6. Step 6: Final answer
    x = 3,133.50

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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.