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Finding the Fourth Proportional to 12,978.40, 19,467.60 and 8,831.20

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Solution

The fourth proportional to 12,978.40, 19,467.60 and 8,831.20 is: 13,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978.40 : 19,467.60 = 8,831.20 : x
  2. Step 2: Convert to fraction form
    12,978.40/19,467.60 = 8,831.20/x
  3. Step 3: Cross multiply
    12,978.40x = 19,467.60 × 8,831.20
  4. Step 4: Simplify right side
    12,978.40x = 171,922,269.12
  5. Step 5: Solve for x
    x = 171,922,269.12/12,978.40
  6. Step 6: Final answer
    x = 13,246.80

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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.