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Finding the Fourth Proportional to 6,282.94, 9,422.70 and 1,899.22

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Solution

The fourth proportional to 6,282.94, 9,422.70 and 1,899.22 is: 2,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.94 : 9,422.70 = 1,899.22 : x
  2. Step 2: Convert to fraction form
    6,282.94/9,422.70 = 1,899.22/x
  3. Step 3: Cross multiply
    6,282.94x = 9,422.70 × 1,899.22
  4. Step 4: Simplify right side
    6,282.94x = 17,895,780.29
  5. Step 5: Solve for x
    x = 17,895,780.29/6,282.94
  6. Step 6: Final answer
    x = 2,848.31

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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.