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Finding the Fourth Proportional to 9,704.55, 13,392.21 and 5,512.80

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Solution

The fourth proportional to 9,704.55, 13,392.21 and 5,512.80 is: 7,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.55 : 13,392.21 = 5,512.80 : x
  2. Step 2: Convert to fraction form
    9,704.55/13,392.21 = 5,512.80/x
  3. Step 3: Cross multiply
    9,704.55x = 13,392.21 × 5,512.80
  4. Step 4: Simplify right side
    9,704.55x = 73,828,575.29
  5. Step 5: Solve for x
    x = 73,828,575.29/9,704.55
  6. Step 6: Final answer
    x = 7,607.62

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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.