Home / 16,738-23,098.44-9,286.16

Finding the Fourth Proportional to 16,738, 23,098.44 and 9,286.16

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Solution

The fourth proportional to 16,738, 23,098.44 and 9,286.16 is: 12,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738 : 23,098.44 = 9,286.16 : x
  2. Step 2: Convert to fraction form
    16,738/23,098.44 = 9,286.16/x
  3. Step 3: Cross multiply
    16,738x = 23,098.44 × 9,286.16
  4. Step 4: Simplify right side
    16,738x = 214,495,809.59
  5. Step 5: Solve for x
    x = 214,495,809.59/16,738
  6. Step 6: Final answer
    x = 12,814.90

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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.