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Finding the Fourth Proportional to 12,273.72, 16,939.24 and 6,970.24

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Solution

The fourth proportional to 12,273.72, 16,939.24 and 6,970.24 is: 9,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.72 : 16,939.24 = 6,970.24 : x
  2. Step 2: Convert to fraction form
    12,273.72/16,939.24 = 6,970.24/x
  3. Step 3: Cross multiply
    12,273.72x = 16,939.24 × 6,970.24
  4. Step 4: Simplify right side
    12,273.72x = 118,070,568.22
  5. Step 5: Solve for x
    x = 118,070,568.22/12,273.72
  6. Step 6: Final answer
    x = 9,619.79

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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.