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Finding the Fourth Proportional to 14,248.24, 19,662.96 and 7,961.08

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Solution

The fourth proportional to 14,248.24, 19,662.96 and 7,961.08 is: 10,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,248.24 : 19,662.96 = 7,961.08 : x
  2. Step 2: Convert to fraction form
    14,248.24/19,662.96 = 7,961.08/x
  3. Step 3: Cross multiply
    14,248.24x = 19,662.96 × 7,961.08
  4. Step 4: Simplify right side
    14,248.24x = 156,538,397.60
  5. Step 5: Solve for x
    x = 156,538,397.60/14,248.24
  6. Step 6: Final answer
    x = 10,986.51

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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.