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Finding the Fourth Proportional to 13,594.92, 18,764.10 and 8,009.16

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Solution

The fourth proportional to 13,594.92, 18,764.10 and 8,009.16 is: 11,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.92 : 18,764.10 = 8,009.16 : x
  2. Step 2: Convert to fraction form
    13,594.92/18,764.10 = 8,009.16/x
  3. Step 3: Cross multiply
    13,594.92x = 18,764.10 × 8,009.16
  4. Step 4: Simplify right side
    13,594.92x = 150,284,679.16
  5. Step 5: Solve for x
    x = 150,284,679.16/13,594.92
  6. Step 6: Final answer
    x = 11,054.47

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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.