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Finding the Fourth Proportional to 14,021.78, 19,349.75 and 7,734.16

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Solution

The fourth proportional to 14,021.78, 19,349.75 and 7,734.16 is: 10,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.78 : 19,349.75 = 7,734.16 : x
  2. Step 2: Convert to fraction form
    14,021.78/19,349.75 = 7,734.16/x
  3. Step 3: Cross multiply
    14,021.78x = 19,349.75 × 7,734.16
  4. Step 4: Simplify right side
    14,021.78x = 149,654,033.42
  5. Step 5: Solve for x
    x = 149,654,033.42/14,021.78
  6. Step 6: Final answer
    x = 10,672.97

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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.