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Finding the Fourth Proportional to 7,041, 9,714.94 and 4,209.27

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Solution

The fourth proportional to 7,041, 9,714.94 and 4,209.27 is: 5,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041 : 9,714.94 = 4,209.27 : x
  2. Step 2: Convert to fraction form
    7,041/9,714.94 = 4,209.27/x
  3. Step 3: Cross multiply
    7,041x = 9,714.94 × 4,209.27
  4. Step 4: Simplify right side
    7,041x = 40,892,805.49
  5. Step 5: Solve for x
    x = 40,892,805.49/7,041
  6. Step 6: Final answer
    x = 5,807.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.