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Finding the Fourth Proportional to 12,251.94, 16,907.16 and 6,947.11

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Solution

The fourth proportional to 12,251.94, 16,907.16 and 6,947.11 is: 9,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.94 : 16,907.16 = 6,947.11 : x
  2. Step 2: Convert to fraction form
    12,251.94/16,907.16 = 6,947.11/x
  3. Step 3: Cross multiply
    12,251.94x = 16,907.16 × 6,947.11
  4. Step 4: Simplify right side
    12,251.94x = 117,455,900.31
  5. Step 5: Solve for x
    x = 117,455,900.31/12,251.94
  6. Step 6: Final answer
    x = 9,586.72

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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.