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Finding the Fourth Proportional to 5,971.68, 8,955.34 and 2,274.88

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Solution

The fourth proportional to 5,971.68, 8,955.34 and 2,274.88 is: 3,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.68 : 8,955.34 = 2,274.88 : x
  2. Step 2: Convert to fraction form
    5,971.68/8,955.34 = 2,274.88/x
  3. Step 3: Cross multiply
    5,971.68x = 8,955.34 × 2,274.88
  4. Step 4: Simplify right side
    5,971.68x = 20,372,323.86
  5. Step 5: Solve for x
    x = 20,372,323.86/5,971.68
  6. Step 6: Final answer
    x = 3,411.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.