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Finding the Fourth Proportional to 6,523.86, 8,995.17 and 4,949.22

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Solution

The fourth proportional to 6,523.86, 8,995.17 and 4,949.22 is: 6,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.86 : 8,995.17 = 4,949.22 : x
  2. Step 2: Convert to fraction form
    6,523.86/8,995.17 = 4,949.22/x
  3. Step 3: Cross multiply
    6,523.86x = 8,995.17 × 4,949.22
  4. Step 4: Simplify right side
    6,523.86x = 44,519,075.27
  5. Step 5: Solve for x
    x = 44,519,075.27/6,523.86
  6. Step 6: Final answer
    x = 6,824.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.