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Finding the Fourth Proportional to 6,689.49, 9,222.74 and 5,755.31

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Solution

The fourth proportional to 6,689.49, 9,222.74 and 5,755.31 is: 7,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.49 : 9,222.74 = 5,755.31 : x
  2. Step 2: Convert to fraction form
    6,689.49/9,222.74 = 5,755.31/x
  3. Step 3: Cross multiply
    6,689.49x = 9,222.74 × 5,755.31
  4. Step 4: Simplify right side
    6,689.49x = 53,079,750.81
  5. Step 5: Solve for x
    x = 53,079,750.81/6,689.49
  6. Step 6: Final answer
    x = 7,934.80

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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.