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Finding the Fourth Proportional to 14,447.75, 19,937.90 and 7,823.75

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Solution

The fourth proportional to 14,447.75, 19,937.90 and 7,823.75 is: 10,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.75 : 19,937.90 = 7,823.75 : x
  2. Step 2: Convert to fraction form
    14,447.75/19,937.90 = 7,823.75/x
  3. Step 3: Cross multiply
    14,447.75x = 19,937.90 × 7,823.75
  4. Step 4: Simplify right side
    14,447.75x = 155,989,145.13
  5. Step 5: Solve for x
    x = 155,989,145.13/14,447.75
  6. Step 6: Final answer
    x = 10,796.78

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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.