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Finding the Fourth Proportional to 7,852.56, 10,831.73 and 4,663.70

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Solution

The fourth proportional to 7,852.56, 10,831.73 and 4,663.70 is: 6,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.56 : 10,831.73 = 4,663.70 : x
  2. Step 2: Convert to fraction form
    7,852.56/10,831.73 = 4,663.70/x
  3. Step 3: Cross multiply
    7,852.56x = 10,831.73 × 4,663.70
  4. Step 4: Simplify right side
    7,852.56x = 50,515,861.72
  5. Step 5: Solve for x
    x = 50,515,861.72/7,852.56
  6. Step 6: Final answer
    x = 6,433.04

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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.