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Finding the Fourth Proportional to 14,213.88, 19,615.76 and 7,926.25

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Solution

The fourth proportional to 14,213.88, 19,615.76 and 7,926.25 is: 10,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.88 : 19,615.76 = 7,926.25 : x
  2. Step 2: Convert to fraction form
    14,213.88/19,615.76 = 7,926.25/x
  3. Step 3: Cross multiply
    14,213.88x = 19,615.76 × 7,926.25
  4. Step 4: Simplify right side
    14,213.88x = 155,479,417.70
  5. Step 5: Solve for x
    x = 155,479,417.70/14,213.88
  6. Step 6: Final answer
    x = 10,938.56

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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.