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Finding the Fourth Proportional to 4,714.56, 6,491.28 and 4,004.92

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Solution

The fourth proportional to 4,714.56, 6,491.28 and 4,004.92 is: 5,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.56 : 6,491.28 = 4,004.92 : x
  2. Step 2: Convert to fraction form
    4,714.56/6,491.28 = 4,004.92/x
  3. Step 3: Cross multiply
    4,714.56x = 6,491.28 × 4,004.92
  4. Step 4: Simplify right side
    4,714.56x = 25,997,057.10
  5. Step 5: Solve for x
    x = 25,997,057.10/4,714.56
  6. Step 6: Final answer
    x = 5,514.21

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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.