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Finding the Fourth Proportional to 6,304.64, 9,457.49 and 1,922.14

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Solution

The fourth proportional to 6,304.64, 9,457.49 and 1,922.14 is: 2,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.64 : 9,457.49 = 1,922.14 : x
  2. Step 2: Convert to fraction form
    6,304.64/9,457.49 = 1,922.14/x
  3. Step 3: Cross multiply
    6,304.64x = 9,457.49 × 1,922.14
  4. Step 4: Simplify right side
    6,304.64x = 18,178,619.83
  5. Step 5: Solve for x
    x = 18,178,619.83/6,304.64
  6. Step 6: Final answer
    x = 2,883.37

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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.