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Finding the Fourth Proportional to 6,640.95, 9,164.17 and 3,656.22

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Solution

The fourth proportional to 6,640.95, 9,164.17 and 3,656.22 is: 5,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.95 : 9,164.17 = 3,656.22 : x
  2. Step 2: Convert to fraction form
    6,640.95/9,164.17 = 3,656.22/x
  3. Step 3: Cross multiply
    6,640.95x = 9,164.17 × 3,656.22
  4. Step 4: Simplify right side
    6,640.95x = 33,506,175.82
  5. Step 5: Solve for x
    x = 33,506,175.82/6,640.95
  6. Step 6: Final answer
    x = 5,045.39

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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.