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Finding the Fourth Proportional to 4,714.96, 7,071.53 and 4,480.80

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Solution

The fourth proportional to 4,714.96, 7,071.53 and 4,480.80 is: 6,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.96 : 7,071.53 = 4,480.80 : x
  2. Step 2: Convert to fraction form
    4,714.96/7,071.53 = 4,480.80/x
  3. Step 3: Cross multiply
    4,714.96x = 7,071.53 × 4,480.80
  4. Step 4: Simplify right side
    4,714.96x = 31,686,089.22
  5. Step 5: Solve for x
    x = 31,686,089.22/4,714.96
  6. Step 6: Final answer
    x = 6,720.33

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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.