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Finding the Fourth Proportional to 4,476.09, 6,714.50 and 1,514.51

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Solution

The fourth proportional to 4,476.09, 6,714.50 and 1,514.51 is: 2,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.09 : 6,714.50 = 1,514.51 : x
  2. Step 2: Convert to fraction form
    4,476.09/6,714.50 = 1,514.51/x
  3. Step 3: Cross multiply
    4,476.09x = 6,714.50 × 1,514.51
  4. Step 4: Simplify right side
    4,476.09x = 10,169,136.25
  5. Step 5: Solve for x
    x = 10,169,136.25/4,476.09
  6. Step 6: Final answer
    x = 2,271.88

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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.