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Finding the Fourth Proportional to 9,353, 12,907.14 and 5,161.34

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Solution

The fourth proportional to 9,353, 12,907.14 and 5,161.34 is: 7,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353 : 12,907.14 = 5,161.34 : x
  2. Step 2: Convert to fraction form
    9,353/12,907.14 = 5,161.34/x
  3. Step 3: Cross multiply
    9,353x = 12,907.14 × 5,161.34
  4. Step 4: Simplify right side
    9,353x = 66,618,137.97
  5. Step 5: Solve for x
    x = 66,618,137.97/9,353
  6. Step 6: Final answer
    x = 7,122.65

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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.