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Finding the Fourth Proportional to 18,476.42, 27,714.63 and 6,784.58

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Solution

The fourth proportional to 18,476.42, 27,714.63 and 6,784.58 is: 10,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,476.42 : 27,714.63 = 6,784.58 : x
  2. Step 2: Convert to fraction form
    18,476.42/27,714.63 = 6,784.58/x
  3. Step 3: Cross multiply
    18,476.42x = 27,714.63 × 6,784.58
  4. Step 4: Simplify right side
    18,476.42x = 188,032,124.41
  5. Step 5: Solve for x
    x = 188,032,124.41/18,476.42
  6. Step 6: Final answer
    x = 10,176.87

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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.