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Finding the Fourth Proportional to 15,952, 23,936.64 and 8,938.24

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Solution

The fourth proportional to 15,952, 23,936.64 and 8,938.24 is: 13,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952 : 23,936.64 = 8,938.24 : x
  2. Step 2: Convert to fraction form
    15,952/23,936.64 = 8,938.24/x
  3. Step 3: Cross multiply
    15,952x = 23,936.64 × 8,938.24
  4. Step 4: Simplify right side
    15,952x = 213,951,433.11
  5. Step 5: Solve for x
    x = 213,951,433.11/15,952
  6. Step 6: Final answer
    x = 13,412.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.