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Finding the Fourth Proportional to 4,714.77, 7,072.02 and 1,792.38

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Solution

The fourth proportional to 4,714.77, 7,072.02 and 1,792.38 is: 2,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.77 : 7,072.02 = 1,792.38 : x
  2. Step 2: Convert to fraction form
    4,714.77/7,072.02 = 1,792.38/x
  3. Step 3: Cross multiply
    4,714.77x = 7,072.02 × 1,792.38
  4. Step 4: Simplify right side
    4,714.77x = 12,675,747.21
  5. Step 5: Solve for x
    x = 12,675,747.21/4,714.77
  6. Step 6: Final answer
    x = 2,688.52

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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.