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Finding the Fourth Proportional to 7,241.82, 9,994.65 and 4,098.63

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Solution

The fourth proportional to 7,241.82, 9,994.65 and 4,098.63 is: 5,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.82 : 9,994.65 = 4,098.63 : x
  2. Step 2: Convert to fraction form
    7,241.82/9,994.65 = 4,098.63/x
  3. Step 3: Cross multiply
    7,241.82x = 9,994.65 × 4,098.63
  4. Step 4: Simplify right side
    7,241.82x = 40,964,372.33
  5. Step 5: Solve for x
    x = 40,964,372.33/7,241.82
  6. Step 6: Final answer
    x = 5,656.64

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Half scale
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Double scale
Find fourth proportional to 7,242.82, 9,996.03 and 4,099.63
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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.