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Finding the Fourth Proportional to 7,140.06, 10,714.94 and 2,523.06

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Solution

The fourth proportional to 7,140.06, 10,714.94 and 2,523.06 is: 3,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.06 : 10,714.94 = 2,523.06 : x
  2. Step 2: Convert to fraction form
    7,140.06/10,714.94 = 2,523.06/x
  3. Step 3: Cross multiply
    7,140.06x = 10,714.94 × 2,523.06
  4. Step 4: Simplify right side
    7,140.06x = 27,034,423.90
  5. Step 5: Solve for x
    x = 27,034,423.90/7,140.06
  6. Step 6: Final answer
    x = 3,786.30

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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.