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Finding the Fourth Proportional to 9,200, 12,696.05 and 5,008.25

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Solution

The fourth proportional to 9,200, 12,696.05 and 5,008.25 is: 6,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200 : 12,696.05 = 5,008.25 : x
  2. Step 2: Convert to fraction form
    9,200/12,696.05 = 5,008.25/x
  3. Step 3: Cross multiply
    9,200x = 12,696.05 × 5,008.25
  4. Step 4: Simplify right side
    9,200x = 63,584,992.41
  5. Step 5: Solve for x
    x = 63,584,992.41/9,200
  6. Step 6: Final answer
    x = 6,911.41

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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.