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Finding the Fourth Proportional to 6,264.84, 9,398.63 and 1,882.63

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Solution

The fourth proportional to 6,264.84, 9,398.63 and 1,882.63 is: 2,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.84 : 9,398.63 = 1,882.63 : x
  2. Step 2: Convert to fraction form
    6,264.84/9,398.63 = 1,882.63/x
  3. Step 3: Cross multiply
    6,264.84x = 9,398.63 × 1,882.63
  4. Step 4: Simplify right side
    6,264.84x = 17,694,142.80
  5. Step 5: Solve for x
    x = 17,694,142.80/6,264.84
  6. Step 6: Final answer
    x = 2,824.36

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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.