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Finding the Fourth Proportional to 9,351.99, 12,907.13 and 6,164.82

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Solution

The fourth proportional to 9,351.99, 12,907.13 and 6,164.82 is: 8,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.99 : 12,907.13 = 6,164.82 : x
  2. Step 2: Convert to fraction form
    9,351.99/12,907.13 = 6,164.82/x
  3. Step 3: Cross multiply
    9,351.99x = 12,907.13 × 6,164.82
  4. Step 4: Simplify right side
    9,351.99x = 79,570,102.34
  5. Step 5: Solve for x
    x = 79,570,102.34/9,351.99
  6. Step 6: Final answer
    x = 8,508.36

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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.