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Finding the Fourth Proportional to 10,409.60, 15,604.92 and 3,831.20

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Solution

The fourth proportional to 10,409.60, 15,604.92 and 3,831.20 is: 5,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.60 : 15,604.92 = 3,831.20 : x
  2. Step 2: Convert to fraction form
    10,409.60/15,604.92 = 3,831.20/x
  3. Step 3: Cross multiply
    10,409.60x = 15,604.92 × 3,831.20
  4. Step 4: Simplify right side
    10,409.60x = 59,785,569.50
  5. Step 5: Solve for x
    x = 59,785,569.50/10,409.60
  6. Step 6: Final answer
    x = 5,743.31

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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.