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Finding the Fourth Proportional to 4,714.70, 7,071.72 and 1,792.92

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Solution

The fourth proportional to 4,714.70, 7,071.72 and 1,792.92 is: 2,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.70 : 7,071.72 = 1,792.92 : x
  2. Step 2: Convert to fraction form
    4,714.70/7,071.72 = 1,792.92/x
  3. Step 3: Cross multiply
    4,714.70x = 7,071.72 × 1,792.92
  4. Step 4: Simplify right side
    4,714.70x = 12,679,028.22
  5. Step 5: Solve for x
    x = 12,679,028.22/4,714.70
  6. Step 6: Final answer
    x = 2,689.25

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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.