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Finding the Fourth Proportional to 7,124.32, 9,831.52 and 3,980.48

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Solution

The fourth proportional to 7,124.32, 9,831.52 and 3,980.48 is: 5,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.32 : 9,831.52 = 3,980.48 : x
  2. Step 2: Convert to fraction form
    7,124.32/9,831.52 = 3,980.48/x
  3. Step 3: Cross multiply
    7,124.32x = 9,831.52 × 3,980.48
  4. Step 4: Simplify right side
    7,124.32x = 39,134,168.73
  5. Step 5: Solve for x
    x = 39,134,168.73/7,124.32
  6. Step 6: Final answer
    x = 5,493.04

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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.