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Finding the Fourth Proportional to 6,703.29, 9,244.49 and 4,185.63

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Solution

The fourth proportional to 6,703.29, 9,244.49 and 4,185.63 is: 5,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.29 : 9,244.49 = 4,185.63 : x
  2. Step 2: Convert to fraction form
    6,703.29/9,244.49 = 4,185.63/x
  3. Step 3: Cross multiply
    6,703.29x = 9,244.49 × 4,185.63
  4. Step 4: Simplify right side
    6,703.29x = 38,693,993.75
  5. Step 5: Solve for x
    x = 38,693,993.75/6,703.29
  6. Step 6: Final answer
    x = 5,772.39

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Half scale
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Double scale
Find fourth proportional to 6,704.29, 9,245.86 and 4,186.63
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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.