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Finding the Fourth Proportional to 9,289.54, 13,921.86 and 5,342.62

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Solution

The fourth proportional to 9,289.54, 13,921.86 and 5,342.62 is: 8,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.54 : 13,921.86 = 5,342.62 : x
  2. Step 2: Convert to fraction form
    9,289.54/13,921.86 = 5,342.62/x
  3. Step 3: Cross multiply
    9,289.54x = 13,921.86 × 5,342.62
  4. Step 4: Simplify right side
    9,289.54x = 74,379,207.67
  5. Step 5: Solve for x
    x = 74,379,207.67/9,289.54
  6. Step 6: Final answer
    x = 8,006.77

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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.