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Finding the Fourth Proportional to 6,755.76, 9,302.30 and 6,122.16

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Solution

The fourth proportional to 6,755.76, 9,302.30 and 6,122.16 is: 8,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.76 : 9,302.30 = 6,122.16 : x
  2. Step 2: Convert to fraction form
    6,755.76/9,302.30 = 6,122.16/x
  3. Step 3: Cross multiply
    6,755.76x = 9,302.30 × 6,122.16
  4. Step 4: Simplify right side
    6,755.76x = 56,950,184.27
  5. Step 5: Solve for x
    x = 56,950,184.27/6,755.76
  6. Step 6: Final answer
    x = 8,429.88

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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.