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Finding the Fourth Proportional to 9,243.65, 13,865.31 and 6,274.73

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Solution

The fourth proportional to 9,243.65, 13,865.31 and 6,274.73 is: 9,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.65 : 13,865.31 = 6,274.73 : x
  2. Step 2: Convert to fraction form
    9,243.65/13,865.31 = 6,274.73/x
  3. Step 3: Cross multiply
    9,243.65x = 13,865.31 × 6,274.73
  4. Step 4: Simplify right side
    9,243.65x = 87,001,111.28
  5. Step 5: Solve for x
    x = 87,001,111.28/9,243.65
  6. Step 6: Final answer
    x = 9,411.98

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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.