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Finding the Fourth Proportional to 7,283.75, 10,912.86 and 5,831.82

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Solution

The fourth proportional to 7,283.75, 10,912.86 and 5,831.82 is: 8,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.75 : 10,912.86 = 5,831.82 : x
  2. Step 2: Convert to fraction form
    7,283.75/10,912.86 = 5,831.82/x
  3. Step 3: Cross multiply
    7,283.75x = 10,912.86 × 5,831.82
  4. Step 4: Simplify right side
    7,283.75x = 63,641,835.21
  5. Step 5: Solve for x
    x = 63,641,835.21/7,283.75
  6. Step 6: Final answer
    x = 8,737.52

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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.