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Finding the Fourth Proportional to 9,907.72, 13,674.05 and 6,132.09

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Solution

The fourth proportional to 9,907.72, 13,674.05 and 6,132.09 is: 8,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.72 : 13,674.05 = 6,132.09 : x
  2. Step 2: Convert to fraction form
    9,907.72/13,674.05 = 6,132.09/x
  3. Step 3: Cross multiply
    9,907.72x = 13,674.05 × 6,132.09
  4. Step 4: Simplify right side
    9,907.72x = 83,850,505.26
  5. Step 5: Solve for x
    x = 83,850,505.26/9,907.72
  6. Step 6: Final answer
    x = 8,463.15

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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.