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Finding the Fourth Proportional to 6,983.10, 9,640.08 and 5,486.22

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Solution

The fourth proportional to 6,983.10, 9,640.08 and 5,486.22 is: 7,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.10 : 9,640.08 = 5,486.22 : x
  2. Step 2: Convert to fraction form
    6,983.10/9,640.08 = 5,486.22/x
  3. Step 3: Cross multiply
    6,983.10x = 9,640.08 × 5,486.22
  4. Step 4: Simplify right side
    6,983.10x = 52,887,599.70
  5. Step 5: Solve for x
    x = 52,887,599.70/6,983.10
  6. Step 6: Final answer
    x = 7,573.66

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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.