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Finding the Fourth Proportional to 7,213.92, 9,960.84 and 5,646.48

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Solution

The fourth proportional to 7,213.92, 9,960.84 and 5,646.48 is: 7,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.92 : 9,960.84 = 5,646.48 : x
  2. Step 2: Convert to fraction form
    7,213.92/9,960.84 = 5,646.48/x
  3. Step 3: Cross multiply
    7,213.92x = 9,960.84 × 5,646.48
  4. Step 4: Simplify right side
    7,213.92x = 56,243,683.84
  5. Step 5: Solve for x
    x = 56,243,683.84/7,213.92
  6. Step 6: Final answer
    x = 7,796.55

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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.