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Finding the Fourth Proportional to 10,794.86, 14,889.62 and 6,812.62

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Solution

The fourth proportional to 10,794.86, 14,889.62 and 6,812.62 is: 9,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.86 : 14,889.62 = 6,812.62 : x
  2. Step 2: Convert to fraction form
    10,794.86/14,889.62 = 6,812.62/x
  3. Step 3: Cross multiply
    10,794.86x = 14,889.62 × 6,812.62
  4. Step 4: Simplify right side
    10,794.86x = 101,437,323.00
  5. Step 5: Solve for x
    x = 101,437,323.00/10,794.86
  6. Step 6: Final answer
    x = 9,396.82

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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.