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Finding the Fourth Proportional to 8,349.73, 11,520.25 and 4,812.25

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Solution

The fourth proportional to 8,349.73, 11,520.25 and 4,812.25 is: 6,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.73 : 11,520.25 = 4,812.25 : x
  2. Step 2: Convert to fraction form
    8,349.73/11,520.25 = 4,812.25/x
  3. Step 3: Cross multiply
    8,349.73x = 11,520.25 × 4,812.25
  4. Step 4: Simplify right side
    8,349.73x = 55,438,323.06
  5. Step 5: Solve for x
    x = 55,438,323.06/8,349.73
  6. Step 6: Final answer
    x = 6,639.53

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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.