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Finding the Fourth Proportional to 9,704.01, 13,377.96 and 8,205.91

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Solution

The fourth proportional to 9,704.01, 13,377.96 and 8,205.91 is: 11,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.01 : 13,377.96 = 8,205.91 : x
  2. Step 2: Convert to fraction form
    9,704.01/13,377.96 = 8,205.91/x
  3. Step 3: Cross multiply
    9,704.01x = 13,377.96 × 8,205.91
  4. Step 4: Simplify right side
    9,704.01x = 109,778,335.74
  5. Step 5: Solve for x
    x = 109,778,335.74/9,704.01
  6. Step 6: Final answer
    x = 11,312.68

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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.