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Finding the Fourth Proportional to 4,549.64, 6,820.97 and 4,086.01

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Solution

The fourth proportional to 4,549.64, 6,820.97 and 4,086.01 is: 6,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.64 : 6,820.97 = 4,086.01 : x
  2. Step 2: Convert to fraction form
    4,549.64/6,820.97 = 4,086.01/x
  3. Step 3: Cross multiply
    4,549.64x = 6,820.97 × 4,086.01
  4. Step 4: Simplify right side
    4,549.64x = 27,870,539.68
  5. Step 5: Solve for x
    x = 27,870,539.68/4,549.64
  6. Step 6: Final answer
    x = 6,125.87

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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.