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Finding the Fourth Proportional to 6,563.90, 9,824.29 and 4,995.44

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Solution

The fourth proportional to 6,563.90, 9,824.29 and 4,995.44 is: 7,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.90 : 9,824.29 = 4,995.44 : x
  2. Step 2: Convert to fraction form
    6,563.90/9,824.29 = 4,995.44/x
  3. Step 3: Cross multiply
    6,563.90x = 9,824.29 × 4,995.44
  4. Step 4: Simplify right side
    6,563.90x = 49,076,626.47
  5. Step 5: Solve for x
    x = 49,076,626.47/6,563.90
  6. Step 6: Final answer
    x = 7,476.75

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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.