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Finding the Fourth Proportional to 6,699.68, 9,224.52 and 5,689.26

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Solution

The fourth proportional to 6,699.68, 9,224.52 and 5,689.26 is: 7,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.68 : 9,224.52 = 5,689.26 : x
  2. Step 2: Convert to fraction form
    6,699.68/9,224.52 = 5,689.26/x
  3. Step 3: Cross multiply
    6,699.68x = 9,224.52 × 5,689.26
  4. Step 4: Simplify right side
    6,699.68x = 52,480,692.66
  5. Step 5: Solve for x
    x = 52,480,692.66/6,699.68
  6. Step 6: Final answer
    x = 7,833.31

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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.