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Finding the Fourth Proportional to 7,684.01, 10,608.45 and 7,241.14

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Solution

The fourth proportional to 7,684.01, 10,608.45 and 7,241.14 is: 9,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.01 : 10,608.45 = 7,241.14 : x
  2. Step 2: Convert to fraction form
    7,684.01/10,608.45 = 7,241.14/x
  3. Step 3: Cross multiply
    7,684.01x = 10,608.45 × 7,241.14
  4. Step 4: Simplify right side
    7,684.01x = 76,817,298.47
  5. Step 5: Solve for x
    x = 76,817,298.47/7,684.01
  6. Step 6: Final answer
    x = 9,997.03

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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.