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Finding the Fourth Proportional to 9,257.70, 12,772.62 and 5,668.92

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Solution

The fourth proportional to 9,257.70, 12,772.62 and 5,668.92 is: 7,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.70 : 12,772.62 = 5,668.92 : x
  2. Step 2: Convert to fraction form
    9,257.70/12,772.62 = 5,668.92/x
  3. Step 3: Cross multiply
    9,257.70x = 12,772.62 × 5,668.92
  4. Step 4: Simplify right side
    9,257.70x = 72,406,960.97
  5. Step 5: Solve for x
    x = 72,406,960.97/9,257.70
  6. Step 6: Final answer
    x = 7,821.27

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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.