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Finding the Fourth Proportional to 7,570.92, 11,344.20 and 4,274.22

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Solution

The fourth proportional to 7,570.92, 11,344.20 and 4,274.22 is: 6,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.92 : 11,344.20 = 4,274.22 : x
  2. Step 2: Convert to fraction form
    7,570.92/11,344.20 = 4,274.22/x
  3. Step 3: Cross multiply
    7,570.92x = 11,344.20 × 4,274.22
  4. Step 4: Simplify right side
    7,570.92x = 48,487,606.52
  5. Step 5: Solve for x
    x = 48,487,606.52/7,570.92
  6. Step 6: Final answer
    x = 6,404.45

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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.