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Finding the Fourth Proportional to 11,614.50, 16,028.31 and 6,309.32

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Solution

The fourth proportional to 11,614.50, 16,028.31 and 6,309.32 is: 8,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.50 : 16,028.31 = 6,309.32 : x
  2. Step 2: Convert to fraction form
    11,614.50/16,028.31 = 6,309.32/x
  3. Step 3: Cross multiply
    11,614.50x = 16,028.31 × 6,309.32
  4. Step 4: Simplify right side
    11,614.50x = 101,127,656.71
  5. Step 5: Solve for x
    x = 101,127,656.71/11,614.50
  6. Step 6: Final answer
    x = 8,707.02

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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.