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Finding the Fourth Proportional to 9,791.96, 14,688.48 and 6,351.08

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Solution

The fourth proportional to 9,791.96, 14,688.48 and 6,351.08 is: 9,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.96 : 14,688.48 = 6,351.08 : x
  2. Step 2: Convert to fraction form
    9,791.96/14,688.48 = 6,351.08/x
  3. Step 3: Cross multiply
    9,791.96x = 14,688.48 × 6,351.08
  4. Step 4: Simplify right side
    9,791.96x = 93,287,711.56
  5. Step 5: Solve for x
    x = 93,287,711.56/9,791.96
  6. Step 6: Final answer
    x = 9,526.97

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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.