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Finding the Fourth Proportional to 12,378.80, 18,568.20 and 6,546.80

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Solution

The fourth proportional to 12,378.80, 18,568.20 and 6,546.80 is: 9,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.80 : 18,568.20 = 6,546.80 : x
  2. Step 2: Convert to fraction form
    12,378.80/18,568.20 = 6,546.80/x
  3. Step 3: Cross multiply
    12,378.80x = 18,568.20 × 6,546.80
  4. Step 4: Simplify right side
    12,378.80x = 121,562,291.76
  5. Step 5: Solve for x
    x = 121,562,291.76/12,378.80
  6. Step 6: Final answer
    x = 9,820.20

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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.