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Finding the Fourth Proportional to 5,714.70, 8,012.10 and 5,714.70

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Solution

The fourth proportional to 5,714.70, 8,012.10 and 5,714.70 is: 8,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.70 : 8,012.10 = 5,714.70 : x
  2. Step 2: Convert to fraction form
    5,714.70/8,012.10 = 5,714.70/x
  3. Step 3: Cross multiply
    5,714.70x = 8,012.10 × 5,714.70
  4. Step 4: Simplify right side
    5,714.70x = 45,786,747.87
  5. Step 5: Solve for x
    x = 45,786,747.87/5,714.70
  6. Step 6: Final answer
    x = 8,012.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.