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Finding the Fourth Proportional to 15,748.08, 21,731.72 and 8,674

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Solution

The fourth proportional to 15,748.08, 21,731.72 and 8,674 is: 11,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,748.08 : 21,731.72 = 8,674 : x
  2. Step 2: Convert to fraction form
    15,748.08/21,731.72 = 8,674/x
  3. Step 3: Cross multiply
    15,748.08x = 21,731.72 × 8,674
  4. Step 4: Simplify right side
    15,748.08x = 188,500,939.28
  5. Step 5: Solve for x
    x = 188,500,939.28/15,748.08
  6. Step 6: Final answer
    x = 11,969.77

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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.