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Finding the Fourth Proportional to 7,658.43, 11,476.86 and 6,091.48

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Solution

The fourth proportional to 7,658.43, 11,476.86 and 6,091.48 is: 9,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.43 : 11,476.86 = 6,091.48 : x
  2. Step 2: Convert to fraction form
    7,658.43/11,476.86 = 6,091.48/x
  3. Step 3: Cross multiply
    7,658.43x = 11,476.86 × 6,091.48
  4. Step 4: Simplify right side
    7,658.43x = 69,911,063.15
  5. Step 5: Solve for x
    x = 69,911,063.15/7,658.43
  6. Step 6: Final answer
    x = 9,128.64

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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.