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Finding the Fourth Proportional to 6,646.82, 9,164.09 and 5,447.39

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Solution

The fourth proportional to 6,646.82, 9,164.09 and 5,447.39 is: 7,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.82 : 9,164.09 = 5,447.39 : x
  2. Step 2: Convert to fraction form
    6,646.82/9,164.09 = 5,447.39/x
  3. Step 3: Cross multiply
    6,646.82x = 9,164.09 × 5,447.39
  4. Step 4: Simplify right side
    6,646.82x = 49,920,299.17
  5. Step 5: Solve for x
    x = 49,920,299.17/6,646.82
  6. Step 6: Final answer
    x = 7,510.41

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Half scale
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Double scale
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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.