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Finding the Fourth Proportional to 14,448.56, 19,938.90 and 7,824.56

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Solution

The fourth proportional to 14,448.56, 19,938.90 and 7,824.56 is: 10,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.56 : 19,938.90 = 7,824.56 : x
  2. Step 2: Convert to fraction form
    14,448.56/19,938.90 = 7,824.56/x
  3. Step 3: Cross multiply
    14,448.56x = 19,938.90 × 7,824.56
  4. Step 4: Simplify right side
    14,448.56x = 156,013,119.38
  5. Step 5: Solve for x
    x = 156,013,119.38/14,448.56
  6. Step 6: Final answer
    x = 10,797.83

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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.