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Finding the Fourth Proportional to 14,251.14, 19,666.44 and 7,963.52

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Solution

The fourth proportional to 14,251.14, 19,666.44 and 7,963.52 is: 10,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.14 : 19,666.44 = 7,963.52 : x
  2. Step 2: Convert to fraction form
    14,251.14/19,666.44 = 7,963.52/x
  3. Step 3: Cross multiply
    14,251.14x = 19,666.44 × 7,963.52
  4. Step 4: Simplify right side
    14,251.14x = 156,613,999.29
  5. Step 5: Solve for x
    x = 156,613,999.29/14,251.14
  6. Step 6: Final answer
    x = 10,989.57

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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.