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Finding the Fourth Proportional to 11,956.70, 16,495.65 and 7,707.44

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Solution

The fourth proportional to 11,956.70, 16,495.65 and 7,707.44 is: 10,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.70 : 16,495.65 = 7,707.44 : x
  2. Step 2: Convert to fraction form
    11,956.70/16,495.65 = 7,707.44/x
  3. Step 3: Cross multiply
    11,956.70x = 16,495.65 × 7,707.44
  4. Step 4: Simplify right side
    11,956.70x = 127,139,150.16
  5. Step 5: Solve for x
    x = 127,139,150.16/11,956.70
  6. Step 6: Final answer
    x = 10,633.30

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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.