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Finding the Fourth Proportional to 14,243.24, 21,369.42 and 6,848.24

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Solution

The fourth proportional to 14,243.24, 21,369.42 and 6,848.24 is: 10,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.24 : 21,369.42 = 6,848.24 : x
  2. Step 2: Convert to fraction form
    14,243.24/21,369.42 = 6,848.24/x
  3. Step 3: Cross multiply
    14,243.24x = 21,369.42 × 6,848.24
  4. Step 4: Simplify right side
    14,243.24x = 146,342,916.82
  5. Step 5: Solve for x
    x = 146,342,916.82/14,243.24
  6. Step 6: Final answer
    x = 10,274.55

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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.