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Finding the Fourth Proportional to 9,682.74, 14,543.55 and 8,462.88

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Solution

The fourth proportional to 9,682.74, 14,543.55 and 8,462.88 is: 12,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.74 : 14,543.55 = 8,462.88 : x
  2. Step 2: Convert to fraction form
    9,682.74/14,543.55 = 8,462.88/x
  3. Step 3: Cross multiply
    9,682.74x = 14,543.55 × 8,462.88
  4. Step 4: Simplify right side
    9,682.74x = 123,080,318.42
  5. Step 5: Solve for x
    x = 123,080,318.42/9,682.74
  6. Step 6: Final answer
    x = 12,711.31

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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.