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Finding the Fourth Proportional to 6,472.52, 9,708.86 and 1,855.52

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Solution

The fourth proportional to 6,472.52, 9,708.86 and 1,855.52 is: 2,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.52 : 9,708.86 = 1,855.52 : x
  2. Step 2: Convert to fraction form
    6,472.52/9,708.86 = 1,855.52/x
  3. Step 3: Cross multiply
    6,472.52x = 9,708.86 × 1,855.52
  4. Step 4: Simplify right side
    6,472.52x = 18,014,983.91
  5. Step 5: Solve for x
    x = 18,014,983.91/6,472.52
  6. Step 6: Final answer
    x = 2,783.30

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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.