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Finding the Fourth Proportional to 6,523.47, 9,784.80 and 2,143.80

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Solution

The fourth proportional to 6,523.47, 9,784.80 and 2,143.80 is: 3,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.47 : 9,784.80 = 2,143.80 : x
  2. Step 2: Convert to fraction form
    6,523.47/9,784.80 = 2,143.80/x
  3. Step 3: Cross multiply
    6,523.47x = 9,784.80 × 2,143.80
  4. Step 4: Simplify right side
    6,523.47x = 20,976,654.24
  5. Step 5: Solve for x
    x = 20,976,654.24/6,523.47
  6. Step 6: Final answer
    x = 3,215.57

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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.