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Finding the Fourth Proportional to 12,305.02, 16,971.78 and 9,647.14

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Solution

The fourth proportional to 12,305.02, 16,971.78 and 9,647.14 is: 13,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.02 : 16,971.78 = 9,647.14 : x
  2. Step 2: Convert to fraction form
    12,305.02/16,971.78 = 9,647.14/x
  3. Step 3: Cross multiply
    12,305.02x = 16,971.78 × 9,647.14
  4. Step 4: Simplify right side
    12,305.02x = 163,729,137.71
  5. Step 5: Solve for x
    x = 163,729,137.71/12,305.02
  6. Step 6: Final answer
    x = 13,305.88

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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.