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Finding the Fourth Proportional to 7,682.68, 10,591.44 and 5,160.40

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Solution

The fourth proportional to 7,682.68, 10,591.44 and 5,160.40 is: 7,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.68 : 10,591.44 = 5,160.40 : x
  2. Step 2: Convert to fraction form
    7,682.68/10,591.44 = 5,160.40/x
  3. Step 3: Cross multiply
    7,682.68x = 10,591.44 × 5,160.40
  4. Step 4: Simplify right side
    7,682.68x = 54,656,066.98
  5. Step 5: Solve for x
    x = 54,656,066.98/7,682.68
  6. Step 6: Final answer
    x = 7,114.19

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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.