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Finding the Fourth Proportional to 9,907.41, 13,665.41 and 6,126.64

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Solution

The fourth proportional to 9,907.41, 13,665.41 and 6,126.64 is: 8,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.41 : 13,665.41 = 6,126.64 : x
  2. Step 2: Convert to fraction form
    9,907.41/13,665.41 = 6,126.64/x
  3. Step 3: Cross multiply
    9,907.41x = 13,665.41 × 6,126.64
  4. Step 4: Simplify right side
    9,907.41x = 83,723,005.70
  5. Step 5: Solve for x
    x = 83,723,005.70/9,907.41
  6. Step 6: Final answer
    x = 8,450.54

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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.