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Finding the Fourth Proportional to 12,282.88, 16,947.84 and 7,246.84

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Solution

The fourth proportional to 12,282.88, 16,947.84 and 7,246.84 is: 9,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.88 : 16,947.84 = 7,246.84 : x
  2. Step 2: Convert to fraction form
    12,282.88/16,947.84 = 7,246.84/x
  3. Step 3: Cross multiply
    12,282.88x = 16,947.84 × 7,246.84
  4. Step 4: Simplify right side
    12,282.88x = 122,818,284.83
  5. Step 5: Solve for x
    x = 122,818,284.83/12,282.88
  6. Step 6: Final answer
    x = 9,999.14

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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.