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Finding the Fourth Proportional to 11,602.27, 16,011.03 and 6,297.04

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Solution

The fourth proportional to 11,602.27, 16,011.03 and 6,297.04 is: 8,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.27 : 16,011.03 = 6,297.04 : x
  2. Step 2: Convert to fraction form
    11,602.27/16,011.03 = 6,297.04/x
  3. Step 3: Cross multiply
    11,602.27x = 16,011.03 × 6,297.04
  4. Step 4: Simplify right side
    11,602.27x = 100,822,096.35
  5. Step 5: Solve for x
    x = 100,822,096.35/11,602.27
  6. Step 6: Final answer
    x = 8,689.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.